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Finding the Third Proportional to 706,354 and 1,056,709

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Solution

The third proportional to 706,354 and 1,056,709 is: 1,580,841.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,354 : 1,056,709 = 1,056,709 : x
  2. Step 2: Convert to fraction form
    706,354/1,056,709 = 1,056,709/x
  3. Step 3: Cross multiply
    706,354x = 1,056,709 × 1,056,709
  4. Step 4: Simplify right side
    706,354x = 1,116,633,910,681
  5. Step 5: Solve for x
    x = 1,116,633,910,681/706,354
  6. Step 6: Final answer
    x = 1,580,841.77

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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.