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Finding the Third Proportional to 972,584 and 1,562,669

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Solution

The third proportional to 972,584 and 1,562,669 is: 2,510,769.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,584 : 1,562,669 = 1,562,669 : x
  2. Step 2: Convert to fraction form
    972,584/1,562,669 = 1,562,669/x
  3. Step 3: Cross multiply
    972,584x = 1,562,669 × 1,562,669
  4. Step 4: Simplify right side
    972,584x = 2,441,934,403,561
  5. Step 5: Solve for x
    x = 2,441,934,403,561/972,584
  6. Step 6: Final answer
    x = 2,510,769.66

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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.