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Finding the Third Proportional to 466,528 and 982,862

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Solution

The third proportional to 466,528 and 982,862 is: 2,070,653.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,528 : 982,862 = 982,862 : x
  2. Step 2: Convert to fraction form
    466,528/982,862 = 982,862/x
  3. Step 3: Cross multiply
    466,528x = 982,862 × 982,862
  4. Step 4: Simplify right side
    466,528x = 966,017,711,044
  5. Step 5: Solve for x
    x = 966,017,711,044/466,528
  6. Step 6: Final answer
    x = 2,070,653.23

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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.