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Finding the Third Proportional to 684,712 and 1,068,521

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Solution

The third proportional to 684,712 and 1,068,521 is: 1,667,470.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,712 : 1,068,521 = 1,068,521 : x
  2. Step 2: Convert to fraction form
    684,712/1,068,521 = 1,068,521/x
  3. Step 3: Cross multiply
    684,712x = 1,068,521 × 1,068,521
  4. Step 4: Simplify right side
    684,712x = 1,141,737,127,441
  5. Step 5: Solve for x
    x = 1,141,737,127,441/684,712
  6. Step 6: Final answer
    x = 1,667,470.60

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.