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Finding the Third Proportional to 588,616 and 1,270,490

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Solution

The third proportional to 588,616 and 1,270,490 is: 2,742,271.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,616 : 1,270,490 = 1,270,490 : x
  2. Step 2: Convert to fraction form
    588,616/1,270,490 = 1,270,490/x
  3. Step 3: Cross multiply
    588,616x = 1,270,490 × 1,270,490
  4. Step 4: Simplify right side
    588,616x = 1,614,144,840,100
  5. Step 5: Solve for x
    x = 1,614,144,840,100/588,616
  6. Step 6: Final answer
    x = 2,742,271.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.