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Finding the Third Proportional to 917,829 and 1,988,172

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Solution

The third proportional to 917,829 and 1,988,172 is: 4,306,714.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,829 : 1,988,172 = 1,988,172 : x
  2. Step 2: Convert to fraction form
    917,829/1,988,172 = 1,988,172/x
  3. Step 3: Cross multiply
    917,829x = 1,988,172 × 1,988,172
  4. Step 4: Simplify right side
    917,829x = 3,952,827,901,584
  5. Step 5: Solve for x
    x = 3,952,827,901,584/917,829
  6. Step 6: Final answer
    x = 4,306,714.98

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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.