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Finding the Third Proportional to 1,382,998 and 1,864,382

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Solution

The third proportional to 1,382,998 and 1,864,382 is: 2,513,322.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382,998 : 1,864,382 = 1,864,382 : x
  2. Step 2: Convert to fraction form
    1,382,998/1,864,382 = 1,864,382/x
  3. Step 3: Cross multiply
    1,382,998x = 1,864,382 × 1,864,382
  4. Step 4: Simplify right side
    1,382,998x = 3,475,920,241,924
  5. Step 5: Solve for x
    x = 3,475,920,241,924/1,382,998
  6. Step 6: Final answer
    x = 2,513,322.68

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.