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Finding the Third Proportional to 975,412.13 and 1,294,597.69

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Solution

The third proportional to 975,412.13 and 1,294,597.69 is: 1,718,230.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,412.13 : 1,294,597.69 = 1,294,597.69 : x
  2. Step 2: Convert to fraction form
    975,412.13/1,294,597.69 = 1,294,597.69/x
  3. Step 3: Cross multiply
    975,412.13x = 1,294,597.69 × 1,294,597.69
  4. Step 4: Simplify right side
    975,412.13x = 1,675,983,172,480.35
  5. Step 5: Solve for x
    x = 1,675,983,172,480.35/975,412.13
  6. Step 6: Final answer
    x = 1,718,230.82

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.