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Finding the Third Proportional to 917,863 and 1,988,271

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Solution

The third proportional to 917,863 and 1,988,271 is: 4,306,984.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,863 : 1,988,271 = 1,988,271 : x
  2. Step 2: Convert to fraction form
    917,863/1,988,271 = 1,988,271/x
  3. Step 3: Cross multiply
    917,863x = 1,988,271 × 1,988,271
  4. Step 4: Simplify right side
    917,863x = 3,953,221,569,441
  5. Step 5: Solve for x
    x = 3,953,221,569,441/917,863
  6. Step 6: Final answer
    x = 4,306,984.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.