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Finding the Third Proportional to 637,786 and 987,488

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Solution

The third proportional to 637,786 and 987,488 is: 1,528,933.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,786 : 987,488 = 987,488 : x
  2. Step 2: Convert to fraction form
    637,786/987,488 = 987,488/x
  3. Step 3: Cross multiply
    637,786x = 987,488 × 987,488
  4. Step 4: Simplify right side
    637,786x = 975,132,550,144
  5. Step 5: Solve for x
    x = 975,132,550,144/637,786
  6. Step 6: Final answer
    x = 1,528,933.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.