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Finding the Third Proportional to 706,359 and 1,056,717

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Solution

The third proportional to 706,359 and 1,056,717 is: 1,580,854.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,359 : 1,056,717 = 1,056,717 : x
  2. Step 2: Convert to fraction form
    706,359/1,056,717 = 1,056,717/x
  3. Step 3: Cross multiply
    706,359x = 1,056,717 × 1,056,717
  4. Step 4: Simplify right side
    706,359x = 1,116,650,818,089
  5. Step 5: Solve for x
    x = 1,116,650,818,089/706,359
  6. Step 6: Final answer
    x = 1,580,854.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.