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Finding the Third Proportional to 891,155.75 and 1,924,356.13

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Solution

The third proportional to 891,155.75 and 1,924,356.13 is: 4,155,442.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,155.75 : 1,924,356.13 = 1,924,356.13 : x
  2. Step 2: Convert to fraction form
    891,155.75/1,924,356.13 = 1,924,356.13/x
  3. Step 3: Cross multiply
    891,155.75x = 1,924,356.13 × 1,924,356.13
  4. Step 4: Simplify right side
    891,155.75x = 3,703,146,495,825.02
  5. Step 5: Solve for x
    x = 3,703,146,495,825.02/891,155.75
  6. Step 6: Final answer
    x = 4,155,442.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.