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Finding the Third Proportional to 709,152 and 1,064,226

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Solution

The third proportional to 709,152 and 1,064,226 is: 1,597,086.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,152 : 1,064,226 = 1,064,226 : x
  2. Step 2: Convert to fraction form
    709,152/1,064,226 = 1,064,226/x
  3. Step 3: Cross multiply
    709,152x = 1,064,226 × 1,064,226
  4. Step 4: Simplify right side
    709,152x = 1,132,576,979,076
  5. Step 5: Solve for x
    x = 1,132,576,979,076/709,152
  6. Step 6: Final answer
    x = 1,597,086.35

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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.