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Finding the Third Proportional to 1,029,416 and 1,485,070

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Solution

The third proportional to 1,029,416 and 1,485,070 is: 2,142,411.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,416 : 1,485,070 = 1,485,070 : x
  2. Step 2: Convert to fraction form
    1,029,416/1,485,070 = 1,485,070/x
  3. Step 3: Cross multiply
    1,029,416x = 1,485,070 × 1,485,070
  4. Step 4: Simplify right side
    1,029,416x = 2,205,432,904,900
  5. Step 5: Solve for x
    x = 2,205,432,904,900/1,029,416
  6. Step 6: Final answer
    x = 2,142,411.72

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.