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Finding the Third Proportional to 762,114 and 1,122,117

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Solution

The third proportional to 762,114 and 1,122,117 is: 1,652,176.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,114 : 1,122,117 = 1,122,117 : x
  2. Step 2: Convert to fraction form
    762,114/1,122,117 = 1,122,117/x
  3. Step 3: Cross multiply
    762,114x = 1,122,117 × 1,122,117
  4. Step 4: Simplify right side
    762,114x = 1,259,146,561,689
  5. Step 5: Solve for x
    x = 1,259,146,561,689/762,114
  6. Step 6: Final answer
    x = 1,652,176.13

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Why These Related Problems?

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