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Finding the Third Proportional to 688,032 and 1,042,416

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Solution

The third proportional to 688,032 and 1,042,416 is: 1,579,332.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,032 : 1,042,416 = 1,042,416 : x
  2. Step 2: Convert to fraction form
    688,032/1,042,416 = 1,042,416/x
  3. Step 3: Cross multiply
    688,032x = 1,042,416 × 1,042,416
  4. Step 4: Simplify right side
    688,032x = 1,086,631,117,056
  5. Step 5: Solve for x
    x = 1,086,631,117,056/688,032
  6. Step 6: Final answer
    x = 1,579,332.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.