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Finding the Third Proportional to 972,520 and 1,562,580

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Solution

The third proportional to 972,520 and 1,562,580 is: 2,510,648.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,520 : 1,562,580 = 1,562,580 : x
  2. Step 2: Convert to fraction form
    972,520/1,562,580 = 1,562,580/x
  3. Step 3: Cross multiply
    972,520x = 1,562,580 × 1,562,580
  4. Step 4: Simplify right side
    972,520x = 2,441,656,256,400
  5. Step 5: Solve for x
    x = 2,441,656,256,400/972,520
  6. Step 6: Final answer
    x = 2,510,648.89

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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.