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Finding the Third Proportional to 1,580,690.53 and 3,730,193.86

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Solution

The third proportional to 1,580,690.53 and 3,730,193.86 is: 8,802,701.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580,690.53 : 3,730,193.86 = 3,730,193.86 : x
  2. Step 2: Convert to fraction form
    1,580,690.53/3,730,193.86 = 3,730,193.86/x
  3. Step 3: Cross multiply
    1,580,690.53x = 3,730,193.86 × 3,730,193.86
  4. Step 4: Simplify right side
    1,580,690.53x = 13,914,346,228,518.96
  5. Step 5: Solve for x
    x = 13,914,346,228,518.96/1,580,690.53
  6. Step 6: Final answer
    x = 8,802,701.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.