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Finding the Third Proportional to 861,669 and 1,207,470

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Solution

The third proportional to 861,669 and 1,207,470 is: 1,692,046.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,669 : 1,207,470 = 1,207,470 : x
  2. Step 2: Convert to fraction form
    861,669/1,207,470 = 1,207,470/x
  3. Step 3: Cross multiply
    861,669x = 1,207,470 × 1,207,470
  4. Step 4: Simplify right side
    861,669x = 1,457,983,800,900
  5. Step 5: Solve for x
    x = 1,457,983,800,900/861,669
  6. Step 6: Final answer
    x = 1,692,046.25

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.