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Finding the Third Proportional to 977,844 and 2,165,640

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Solution

The third proportional to 977,844 and 2,165,640 is: 4,796,262.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,844 : 2,165,640 = 2,165,640 : x
  2. Step 2: Convert to fraction form
    977,844/2,165,640 = 2,165,640/x
  3. Step 3: Cross multiply
    977,844x = 2,165,640 × 2,165,640
  4. Step 4: Simplify right side
    977,844x = 4,689,996,609,600
  5. Step 5: Solve for x
    x = 4,689,996,609,600/977,844
  6. Step 6: Final answer
    x = 4,796,262.60

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.