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Finding the Third Proportional to 463,582 and 977,806

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Solution

The third proportional to 463,582 and 977,806 is: 2,062,428.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,582 : 977,806 = 977,806 : x
  2. Step 2: Convert to fraction form
    463,582/977,806 = 977,806/x
  3. Step 3: Cross multiply
    463,582x = 977,806 × 977,806
  4. Step 4: Simplify right side
    463,582x = 956,104,573,636
  5. Step 5: Solve for x
    x = 956,104,573,636/463,582
  6. Step 6: Final answer
    x = 2,062,428.17

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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.