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Finding the Third Proportional to 610,964 and 1,341,472

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Solution

The third proportional to 610,964 and 1,341,472 is: 2,945,422.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,964 : 1,341,472 = 1,341,472 : x
  2. Step 2: Convert to fraction form
    610,964/1,341,472 = 1,341,472/x
  3. Step 3: Cross multiply
    610,964x = 1,341,472 × 1,341,472
  4. Step 4: Simplify right side
    610,964x = 1,799,547,126,784
  5. Step 5: Solve for x
    x = 1,799,547,126,784/610,964
  6. Step 6: Final answer
    x = 2,945,422.52

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.