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Finding the Third Proportional to 463,666 and 977,148

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Solution

The third proportional to 463,666 and 977,148 is: 2,059,280.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,666 : 977,148 = 977,148 : x
  2. Step 2: Convert to fraction form
    463,666/977,148 = 977,148/x
  3. Step 3: Cross multiply
    463,666x = 977,148 × 977,148
  4. Step 4: Simplify right side
    463,666x = 954,818,213,904
  5. Step 5: Solve for x
    x = 954,818,213,904/463,666
  6. Step 6: Final answer
    x = 2,059,280.20

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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.