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Finding the Third Proportional to 747,830 and 1,160,155

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Solution

The third proportional to 747,830 and 1,160,155 is: 1,799,820.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,830 : 1,160,155 = 1,160,155 : x
  2. Step 2: Convert to fraction form
    747,830/1,160,155 = 1,160,155/x
  3. Step 3: Cross multiply
    747,830x = 1,160,155 × 1,160,155
  4. Step 4: Simplify right side
    747,830x = 1,345,959,624,025
  5. Step 5: Solve for x
    x = 1,345,959,624,025/747,830
  6. Step 6: Final answer
    x = 1,799,820.31

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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.