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Finding the Third Proportional to 710,388 and 1,521,864

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Solution

The third proportional to 710,388 and 1,521,864 is: 3,260,288.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,388 : 1,521,864 = 1,521,864 : x
  2. Step 2: Convert to fraction form
    710,388/1,521,864 = 1,521,864/x
  3. Step 3: Cross multiply
    710,388x = 1,521,864 × 1,521,864
  4. Step 4: Simplify right side
    710,388x = 2,316,070,034,496
  5. Step 5: Solve for x
    x = 2,316,070,034,496/710,388
  6. Step 6: Final answer
    x = 3,260,288.79

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.