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Finding the Third Proportional to 447,580 and 973,862

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Solution

The third proportional to 447,580 and 973,862 is: 2,118,966.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,580 : 973,862 = 973,862 : x
  2. Step 2: Convert to fraction form
    447,580/973,862 = 973,862/x
  3. Step 3: Cross multiply
    447,580x = 973,862 × 973,862
  4. Step 4: Simplify right side
    447,580x = 948,407,195,044
  5. Step 5: Solve for x
    x = 948,407,195,044/447,580
  6. Step 6: Final answer
    x = 2,118,966.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.