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Finding the Third Proportional to 697,784 and 1,502,486

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Solution

The third proportional to 697,784 and 1,502,486 is: 3,235,190.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,784 : 1,502,486 = 1,502,486 : x
  2. Step 2: Convert to fraction form
    697,784/1,502,486 = 1,502,486/x
  3. Step 3: Cross multiply
    697,784x = 1,502,486 × 1,502,486
  4. Step 4: Simplify right side
    697,784x = 2,257,464,180,196
  5. Step 5: Solve for x
    x = 2,257,464,180,196/697,784
  6. Step 6: Final answer
    x = 3,235,190.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.