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Finding the Third Proportional to 528,047 and 1,121,541

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Solution

The third proportional to 528,047 and 1,121,541 is: 2,382,087.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,047 : 1,121,541 = 1,121,541 : x
  2. Step 2: Convert to fraction form
    528,047/1,121,541 = 1,121,541/x
  3. Step 3: Cross multiply
    528,047x = 1,121,541 × 1,121,541
  4. Step 4: Simplify right side
    528,047x = 1,257,854,214,681
  5. Step 5: Solve for x
    x = 1,257,854,214,681/528,047
  6. Step 6: Final answer
    x = 2,382,087.61

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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.