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Finding the Third Proportional to 762,114 and 1,121,139

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Solution

The third proportional to 762,114 and 1,121,139 is: 1,649,297.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,114 : 1,121,139 = 1,121,139 : x
  2. Step 2: Convert to fraction form
    762,114/1,121,139 = 1,121,139/x
  3. Step 3: Cross multiply
    762,114x = 1,121,139 × 1,121,139
  4. Step 4: Simplify right side
    762,114x = 1,256,952,657,321
  5. Step 5: Solve for x
    x = 1,256,952,657,321/762,114
  6. Step 6: Final answer
    x = 1,649,297.42

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.