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Finding the Third Proportional to 1,746,866 and 3,703,693

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Solution

The third proportional to 1,746,866 and 3,703,693 is: 7,852,543.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746,866 : 3,703,693 = 3,703,693 : x
  2. Step 2: Convert to fraction form
    1,746,866/3,703,693 = 3,703,693/x
  3. Step 3: Cross multiply
    1,746,866x = 3,703,693 × 3,703,693
  4. Step 4: Simplify right side
    1,746,866x = 13,717,341,838,249
  5. Step 5: Solve for x
    x = 13,717,341,838,249/1,746,866
  6. Step 6: Final answer
    x = 7,852,543.83

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.