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Finding the Third Proportional to 748,155 and 1,160,829

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Solution

The third proportional to 748,155 and 1,160,829 is: 1,801,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,155 : 1,160,829 = 1,160,829 : x
  2. Step 2: Convert to fraction form
    748,155/1,160,829 = 1,160,829/x
  3. Step 3: Cross multiply
    748,155x = 1,160,829 × 1,160,829
  4. Step 4: Simplify right side
    748,155x = 1,347,523,967,241
  5. Step 5: Solve for x
    x = 1,347,523,967,241/748,155
  6. Step 6: Final answer
    x = 1,801,129.40

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.