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Finding the Third Proportional to 864,446 and 1,308,602

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Solution

The third proportional to 864,446 and 1,308,602 is: 1,980,967.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,446 : 1,308,602 = 1,308,602 : x
  2. Step 2: Convert to fraction form
    864,446/1,308,602 = 1,308,602/x
  3. Step 3: Cross multiply
    864,446x = 1,308,602 × 1,308,602
  4. Step 4: Simplify right side
    864,446x = 1,712,439,194,404
  5. Step 5: Solve for x
    x = 1,712,439,194,404/864,446
  6. Step 6: Final answer
    x = 1,980,967.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.