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Finding the Third Proportional to 588,653 and 1,247,428

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Solution

The third proportional to 588,653 and 1,247,428 is: 2,643,453.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,653 : 1,247,428 = 1,247,428 : x
  2. Step 2: Convert to fraction form
    588,653/1,247,428 = 1,247,428/x
  3. Step 3: Cross multiply
    588,653x = 1,247,428 × 1,247,428
  4. Step 4: Simplify right side
    588,653x = 1,556,076,615,184
  5. Step 5: Solve for x
    x = 1,556,076,615,184/588,653
  6. Step 6: Final answer
    x = 2,643,453.13

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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.