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Finding the Third Proportional to 420,114 and 921,862

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Solution

The third proportional to 420,114 and 921,862 is: 2,022,854.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,114 : 921,862 = 921,862 : x
  2. Step 2: Convert to fraction form
    420,114/921,862 = 921,862/x
  3. Step 3: Cross multiply
    420,114x = 921,862 × 921,862
  4. Step 4: Simplify right side
    420,114x = 849,829,547,044
  5. Step 5: Solve for x
    x = 849,829,547,044/420,114
  6. Step 6: Final answer
    x = 2,022,854.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.