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Finding the Third Proportional to 4,712,764 and 7,252,854

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Solution

The third proportional to 4,712,764 and 7,252,854 is: 11,162,004.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712,764 : 7,252,854 = 7,252,854 : x
  2. Step 2: Convert to fraction form
    4,712,764/7,252,854 = 7,252,854/x
  3. Step 3: Cross multiply
    4,712,764x = 7,252,854 × 7,252,854
  4. Step 4: Simplify right side
    4,712,764x = 52,603,891,145,316
  5. Step 5: Solve for x
    x = 52,603,891,145,316/4,712,764
  6. Step 6: Final answer
    x = 11,162,004.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.