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Finding the Third Proportional to 977,242.50 and 1,485,787.50

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Solution

The third proportional to 977,242.50 and 1,485,787.50 is: 2,258,973.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,242.50 : 1,485,787.50 = 1,485,787.50 : x
  2. Step 2: Convert to fraction form
    977,242.50/1,485,787.50 = 1,485,787.50/x
  3. Step 3: Cross multiply
    977,242.50x = 1,485,787.50 × 1,485,787.50
  4. Step 4: Simplify right side
    977,242.50x = 2,207,564,495,156.25
  5. Step 5: Solve for x
    x = 2,207,564,495,156.25/977,242.50
  6. Step 6: Final answer
    x = 2,258,973.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.