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Finding the Third Proportional to 4,606,332 and 7,225,347

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Solution

The third proportional to 4,606,332 and 7,225,347 is: 11,333,451.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606,332 : 7,225,347 = 7,225,347 : x
  2. Step 2: Convert to fraction form
    4,606,332/7,225,347 = 7,225,347/x
  3. Step 3: Cross multiply
    4,606,332x = 7,225,347 × 7,225,347
  4. Step 4: Simplify right side
    4,606,332x = 52,205,639,270,409
  5. Step 5: Solve for x
    x = 52,205,639,270,409/4,606,332
  6. Step 6: Final answer
    x = 11,333,451.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.