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Finding the Third Proportional to 556,988 and 1,177,472

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Solution

The third proportional to 556,988 and 1,177,472 is: 2,489,174.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,988 : 1,177,472 = 1,177,472 : x
  2. Step 2: Convert to fraction form
    556,988/1,177,472 = 1,177,472/x
  3. Step 3: Cross multiply
    556,988x = 1,177,472 × 1,177,472
  4. Step 4: Simplify right side
    556,988x = 1,386,440,310,784
  5. Step 5: Solve for x
    x = 1,386,440,310,784/556,988
  6. Step 6: Final answer
    x = 2,489,174.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.