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Finding the Third Proportional to 588,332 and 1,284,556

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Solution

The third proportional to 588,332 and 1,284,556 is: 2,804,681.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,332 : 1,284,556 = 1,284,556 : x
  2. Step 2: Convert to fraction form
    588,332/1,284,556 = 1,284,556/x
  3. Step 3: Cross multiply
    588,332x = 1,284,556 × 1,284,556
  4. Step 4: Simplify right side
    588,332x = 1,650,084,117,136
  5. Step 5: Solve for x
    x = 1,650,084,117,136/588,332
  6. Step 6: Final answer
    x = 2,804,681.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.