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Finding the Third Proportional to 1,024,690 and 1,646,363

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Solution

The third proportional to 1,024,690 and 1,646,363 is: 2,645,201.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,690 : 1,646,363 = 1,646,363 : x
  2. Step 2: Convert to fraction form
    1,024,690/1,646,363 = 1,646,363/x
  3. Step 3: Cross multiply
    1,024,690x = 1,646,363 × 1,646,363
  4. Step 4: Simplify right side
    1,024,690x = 2,710,511,127,769
  5. Step 5: Solve for x
    x = 2,710,511,127,769/1,024,690
  6. Step 6: Final answer
    x = 2,645,201.11

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.