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Finding the Third Proportional to 1,575,260 and 2,432,851.50

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Solution

The third proportional to 1,575,260 and 2,432,851.50 is: 3,757,326.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575,260 : 2,432,851.50 = 2,432,851.50 : x
  2. Step 2: Convert to fraction form
    1,575,260/2,432,851.50 = 2,432,851.50/x
  3. Step 3: Cross multiply
    1,575,260x = 2,432,851.50 × 2,432,851.50
  4. Step 4: Simplify right side
    1,575,260x = 5,918,766,421,052.25
  5. Step 5: Solve for x
    x = 5,918,766,421,052.25/1,575,260
  6. Step 6: Final answer
    x = 3,757,326.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.