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Finding the Third Proportional to 960,551 and 2,070,070

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Solution

The third proportional to 960,551 and 2,070,070 is: 4,461,178.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,551 : 2,070,070 = 2,070,070 : x
  2. Step 2: Convert to fraction form
    960,551/2,070,070 = 2,070,070/x
  3. Step 3: Cross multiply
    960,551x = 2,070,070 × 2,070,070
  4. Step 4: Simplify right side
    960,551x = 4,285,189,804,900
  5. Step 5: Solve for x
    x = 4,285,189,804,900/960,551
  6. Step 6: Final answer
    x = 4,461,178.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.