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Finding the Third Proportional to 912,901 and 1,970,143

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Solution

The third proportional to 912,901 and 1,970,143 is: 4,251,790.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,901 : 1,970,143 = 1,970,143 : x
  2. Step 2: Convert to fraction form
    912,901/1,970,143 = 1,970,143/x
  3. Step 3: Cross multiply
    912,901x = 1,970,143 × 1,970,143
  4. Step 4: Simplify right side
    912,901x = 3,881,463,440,449
  5. Step 5: Solve for x
    x = 3,881,463,440,449/912,901
  6. Step 6: Final answer
    x = 4,251,790.11

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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.