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Finding the Third Proportional to 699,241 and 1,531,363

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Solution

The third proportional to 699,241 and 1,531,363 is: 3,353,740.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,241 : 1,531,363 = 1,531,363 : x
  2. Step 2: Convert to fraction form
    699,241/1,531,363 = 1,531,363/x
  3. Step 3: Cross multiply
    699,241x = 1,531,363 × 1,531,363
  4. Step 4: Simplify right side
    699,241x = 2,345,072,637,769
  5. Step 5: Solve for x
    x = 2,345,072,637,769/699,241
  6. Step 6: Final answer
    x = 3,353,740.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.