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Finding the Third Proportional to 832,221 and 1,218,702

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Solution

The third proportional to 832,221 and 1,218,702 is: 1,784,663.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,221 : 1,218,702 = 1,218,702 : x
  2. Step 2: Convert to fraction form
    832,221/1,218,702 = 1,218,702/x
  3. Step 3: Cross multiply
    832,221x = 1,218,702 × 1,218,702
  4. Step 4: Simplify right side
    832,221x = 1,485,234,564,804
  5. Step 5: Solve for x
    x = 1,485,234,564,804/832,221
  6. Step 6: Final answer
    x = 1,784,663.65

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