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Finding the Third Proportional to 4,142,454 and 5,596,713

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Solution

The third proportional to 4,142,454 and 5,596,713 is: 7,561,507.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142,454 : 5,596,713 = 5,596,713 : x
  2. Step 2: Convert to fraction form
    4,142,454/5,596,713 = 5,596,713/x
  3. Step 3: Cross multiply
    4,142,454x = 5,596,713 × 5,596,713
  4. Step 4: Simplify right side
    4,142,454x = 31,323,196,404,369
  5. Step 5: Solve for x
    x = 31,323,196,404,369/4,142,454
  6. Step 6: Final answer
    x = 7,561,507.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.