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Finding the Third Proportional to 1,750,762.13 and 2,650,575.38

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Solution

The third proportional to 1,750,762.13 and 2,650,575.38 is: 4,012,852.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750,762.13 : 2,650,575.38 = 2,650,575.38 : x
  2. Step 2: Convert to fraction form
    1,750,762.13/2,650,575.38 = 2,650,575.38/x
  3. Step 3: Cross multiply
    1,750,762.13x = 2,650,575.38 × 2,650,575.38
  4. Step 4: Simplify right side
    1,750,762.13x = 7,025,549,818,556.39
  5. Step 5: Solve for x
    x = 7,025,549,818,556.39/1,750,762.13
  6. Step 6: Final answer
    x = 4,012,852.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.