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Finding the Third Proportional to 602,524,387.69 and 930,648,583.69

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Solution

The third proportional to 602,524,387.69 and 930,648,583.69 is: 1,437,463,452.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,524,387.69 : 930,648,583.69 = 930,648,583.69 : x
  2. Step 2: Convert to fraction form
    602,524,387.69/930,648,583.69 = 930,648,583.69/x
  3. Step 3: Cross multiply
    602,524,387.69x = 930,648,583.69 × 930,648,583.69
  4. Step 4: Simplify right side
    602,524,387.69x = 866,106,786,319,549,696
  5. Step 5: Solve for x
    x = 866,106,786,319,549,696/602,524,387.69
  6. Step 6: Final answer
    x = 1,437,463,452.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.