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Finding the Third Proportional to 645,989 and 991,581

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Solution

The third proportional to 645,989 and 991,581 is: 1,522,058.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,989 : 991,581 = 991,581 : x
  2. Step 2: Convert to fraction form
    645,989/991,581 = 991,581/x
  3. Step 3: Cross multiply
    645,989x = 991,581 × 991,581
  4. Step 4: Simplify right side
    645,989x = 983,232,879,561
  5. Step 5: Solve for x
    x = 983,232,879,561/645,989
  6. Step 6: Final answer
    x = 1,522,058.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.