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Finding the Third Proportional to 516,528 and 1,095,580

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Solution

The third proportional to 516,528 and 1,095,580 is: 2,323,776.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,528 : 1,095,580 = 1,095,580 : x
  2. Step 2: Convert to fraction form
    516,528/1,095,580 = 1,095,580/x
  3. Step 3: Cross multiply
    516,528x = 1,095,580 × 1,095,580
  4. Step 4: Simplify right side
    516,528x = 1,200,295,536,400
  5. Step 5: Solve for x
    x = 1,200,295,536,400/516,528
  6. Step 6: Final answer
    x = 2,323,776.32

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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.