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Finding the Third Proportional to 1,178,641.13 and 2,545,090.88

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Solution

The third proportional to 1,178,641.13 and 2,545,090.88 is: 5,495,725.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178,641.13 : 2,545,090.88 = 2,545,090.88 : x
  2. Step 2: Convert to fraction form
    1,178,641.13/2,545,090.88 = 2,545,090.88/x
  3. Step 3: Cross multiply
    1,178,641.13x = 2,545,090.88 × 2,545,090.88
  4. Step 4: Simplify right side
    1,178,641.13x = 6,477,487,562,008.27
  5. Step 5: Solve for x
    x = 6,477,487,562,008.27/1,178,641.13
  6. Step 6: Final answer
    x = 5,495,725.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.