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Finding the Third Proportional to 1,205,319 and 1,636,965

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Solution

The third proportional to 1,205,319 and 1,636,965 is: 2,223,191.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,319 : 1,636,965 = 1,636,965 : x
  2. Step 2: Convert to fraction form
    1,205,319/1,636,965 = 1,636,965/x
  3. Step 3: Cross multiply
    1,205,319x = 1,636,965 × 1,636,965
  4. Step 4: Simplify right side
    1,205,319x = 2,679,654,411,225
  5. Step 5: Solve for x
    x = 2,679,654,411,225/1,205,319
  6. Step 6: Final answer
    x = 2,223,191.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.