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Finding the Third Proportional to 1,159,701.47 and 2,496,365.16

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Solution

The third proportional to 1,159,701.47 and 2,496,365.16 is: 5,373,657.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,701.47 : 2,496,365.16 = 2,496,365.16 : x
  2. Step 2: Convert to fraction form
    1,159,701.47/2,496,365.16 = 2,496,365.16/x
  3. Step 3: Cross multiply
    1,159,701.47x = 2,496,365.16 × 2,496,365.16
  4. Step 4: Simplify right side
    1,159,701.47x = 6,231,838,993,339.09
  5. Step 5: Solve for x
    x = 6,231,838,993,339.09/1,159,701.47
  6. Step 6: Final answer
    x = 5,373,657.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.