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Finding the Third Proportional to 972,528 and 1,562,592

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Solution

The third proportional to 972,528 and 1,562,592 is: 2,510,666.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,528 : 1,562,592 = 1,562,592 : x
  2. Step 2: Convert to fraction form
    972,528/1,562,592 = 1,562,592/x
  3. Step 3: Cross multiply
    972,528x = 1,562,592 × 1,562,592
  4. Step 4: Simplify right side
    972,528x = 2,441,693,758,464
  5. Step 5: Solve for x
    x = 2,441,693,758,464/972,528
  6. Step 6: Final answer
    x = 2,510,666.80

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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.