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Finding the Third Proportional to 917,281 and 1,945,570

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Solution

The third proportional to 917,281 and 1,945,570 is: 4,126,590.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,281 : 1,945,570 = 1,945,570 : x
  2. Step 2: Convert to fraction form
    917,281/1,945,570 = 1,945,570/x
  3. Step 3: Cross multiply
    917,281x = 1,945,570 × 1,945,570
  4. Step 4: Simplify right side
    917,281x = 3,785,242,624,900
  5. Step 5: Solve for x
    x = 3,785,242,624,900/917,281
  6. Step 6: Final answer
    x = 4,126,590.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.