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Finding the Third Proportional to 912,900 and 1,970,142

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Solution

The third proportional to 912,900 and 1,970,142 is: 4,251,790.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,900 : 1,970,142 = 1,970,142 : x
  2. Step 2: Convert to fraction form
    912,900/1,970,142 = 1,970,142/x
  3. Step 3: Cross multiply
    912,900x = 1,970,142 × 1,970,142
  4. Step 4: Simplify right side
    912,900x = 3,881,459,500,164
  5. Step 5: Solve for x
    x = 3,881,459,500,164/912,900
  6. Step 6: Final answer
    x = 4,251,790.45

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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.