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Finding the Third Proportional to 684,712 and 1,001,711

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Solution

The third proportional to 684,712 and 1,001,711 is: 1,465,470.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,712 : 1,001,711 = 1,001,711 : x
  2. Step 2: Convert to fraction form
    684,712/1,001,711 = 1,001,711/x
  3. Step 3: Cross multiply
    684,712x = 1,001,711 × 1,001,711
  4. Step 4: Simplify right side
    684,712x = 1,003,424,927,521
  5. Step 5: Solve for x
    x = 1,003,424,927,521/684,712
  6. Step 6: Final answer
    x = 1,465,470.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.