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Finding the Third Proportional to 1,515,307.50 and 2,352,641.63

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Solution

The third proportional to 1,515,307.50 and 2,352,641.63 is: 3,652,672.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515,307.50 : 2,352,641.63 = 2,352,641.63 : x
  2. Step 2: Convert to fraction form
    1,515,307.50/2,352,641.63 = 2,352,641.63/x
  3. Step 3: Cross multiply
    1,515,307.50x = 2,352,641.63 × 2,352,641.63
  4. Step 4: Simplify right side
    1,515,307.50x = 5,534,922,615,682.64
  5. Step 5: Solve for x
    x = 5,534,922,615,682.64/1,515,307.50
  6. Step 6: Final answer
    x = 3,652,672.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.