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Finding the Third Proportional to 697,691 and 1,501,870

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Solution

The third proportional to 697,691 and 1,501,870 is: 3,232,969.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,691 : 1,501,870 = 1,501,870 : x
  2. Step 2: Convert to fraction form
    697,691/1,501,870 = 1,501,870/x
  3. Step 3: Cross multiply
    697,691x = 1,501,870 × 1,501,870
  4. Step 4: Simplify right side
    697,691x = 2,255,613,496,900
  5. Step 5: Solve for x
    x = 2,255,613,496,900/697,691
  6. Step 6: Final answer
    x = 3,232,969.18

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.