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Finding the Third Proportional to 1,615,624 and 3,398,384

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Solution

The third proportional to 1,615,624 and 3,398,384 is: 7,148,330.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615,624 : 3,398,384 = 3,398,384 : x
  2. Step 2: Convert to fraction form
    1,615,624/3,398,384 = 3,398,384/x
  3. Step 3: Cross multiply
    1,615,624x = 3,398,384 × 3,398,384
  4. Step 4: Simplify right side
    1,615,624x = 11,549,013,811,456
  5. Step 5: Solve for x
    x = 11,549,013,811,456/1,615,624
  6. Step 6: Final answer
    x = 7,148,330.19

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.