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Finding the Third Proportional to 463,584 and 977,810

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Solution

The third proportional to 463,584 and 977,810 is: 2,062,436.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,584 : 977,810 = 977,810 : x
  2. Step 2: Convert to fraction form
    463,584/977,810 = 977,810/x
  3. Step 3: Cross multiply
    463,584x = 977,810 × 977,810
  4. Step 4: Simplify right side
    463,584x = 956,112,396,100
  5. Step 5: Solve for x
    x = 956,112,396,100/463,584
  6. Step 6: Final answer
    x = 2,062,436.14

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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.