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Finding the Third Proportional to 1,028,782.50 and 1,387,775.25

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Solution

The third proportional to 1,028,782.50 and 1,387,775.25 is: 1,872,038.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,782.50 : 1,387,775.25 = 1,387,775.25 : x
  2. Step 2: Convert to fraction form
    1,028,782.50/1,387,775.25 = 1,387,775.25/x
  3. Step 3: Cross multiply
    1,028,782.50x = 1,387,775.25 × 1,387,775.25
  4. Step 4: Simplify right side
    1,028,782.50x = 1,925,920,144,512.56
  5. Step 5: Solve for x
    x = 1,925,920,144,512.56/1,028,782.50
  6. Step 6: Final answer
    x = 1,872,038.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.