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Finding the Third Proportional to 705,253 and 1,074,404

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Solution

The third proportional to 705,253 and 1,074,404 is: 1,636,779.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,253 : 1,074,404 = 1,074,404 : x
  2. Step 2: Convert to fraction form
    705,253/1,074,404 = 1,074,404/x
  3. Step 3: Cross multiply
    705,253x = 1,074,404 × 1,074,404
  4. Step 4: Simplify right side
    705,253x = 1,154,343,955,216
  5. Step 5: Solve for x
    x = 1,154,343,955,216/705,253
  6. Step 6: Final answer
    x = 1,636,779.93

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.