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Finding the Third Proportional to 583,370 and 1,247,660

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Solution

The third proportional to 583,370 and 1,247,660 is: 2,668,384.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,370 : 1,247,660 = 1,247,660 : x
  2. Step 2: Convert to fraction form
    583,370/1,247,660 = 1,247,660/x
  3. Step 3: Cross multiply
    583,370x = 1,247,660 × 1,247,660
  4. Step 4: Simplify right side
    583,370x = 1,556,655,475,600
  5. Step 5: Solve for x
    x = 1,556,655,475,600/583,370
  6. Step 6: Final answer
    x = 2,668,384.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.