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Finding the Third Proportional to 2,976,332 and 6,460,048

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Solution

The third proportional to 2,976,332 and 6,460,048 is: 14,021,359.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976,332 : 6,460,048 = 6,460,048 : x
  2. Step 2: Convert to fraction form
    2,976,332/6,460,048 = 6,460,048/x
  3. Step 3: Cross multiply
    2,976,332x = 6,460,048 × 6,460,048
  4. Step 4: Simplify right side
    2,976,332x = 41,732,220,162,304
  5. Step 5: Solve for x
    x = 41,732,220,162,304/2,976,332
  6. Step 6: Final answer
    x = 14,021,359.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.