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Finding the Third Proportional to 591,260 and 913,487

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Solution

The third proportional to 591,260 and 913,487 is: 1,411,322.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,260 : 913,487 = 913,487 : x
  2. Step 2: Convert to fraction form
    591,260/913,487 = 913,487/x
  3. Step 3: Cross multiply
    591,260x = 913,487 × 913,487
  4. Step 4: Simplify right side
    591,260x = 834,458,499,169
  5. Step 5: Solve for x
    x = 834,458,499,169/591,260
  6. Step 6: Final answer
    x = 1,411,322.43

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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.