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Finding the Third Proportional to 1,130,829.75 and 1,748,734.31

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Solution

The third proportional to 1,130,829.75 and 1,748,734.31 is: 2,704,272.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130,829.75 : 1,748,734.31 = 1,748,734.31 : x
  2. Step 2: Convert to fraction form
    1,130,829.75/1,748,734.31 = 1,748,734.31/x
  3. Step 3: Cross multiply
    1,130,829.75x = 1,748,734.31 × 1,748,734.31
  4. Step 4: Simplify right side
    1,130,829.75x = 3,058,071,695,714.85
  5. Step 5: Solve for x
    x = 3,058,071,695,714.85/1,130,829.75
  6. Step 6: Final answer
    x = 2,704,272.41

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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.