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Finding the Third Proportional to 536,752.59 and 1,157,574.40

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Solution

The third proportional to 536,752.59 and 1,157,574.40 is: 2,496,454.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,752.59 : 1,157,574.40 = 1,157,574.40 : x
  2. Step 2: Convert to fraction form
    536,752.59/1,157,574.40 = 1,157,574.40/x
  3. Step 3: Cross multiply
    536,752.59x = 1,157,574.40 × 1,157,574.40
  4. Step 4: Simplify right side
    536,752.59x = 1,339,978,494,700.63
  5. Step 5: Solve for x
    x = 1,339,978,494,700.63/536,752.59
  6. Step 6: Final answer
    x = 2,496,454.64

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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.