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Finding the Third Proportional to 518,714 and 1,073,428

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Solution

The third proportional to 518,714 and 1,073,428 is: 2,221,354.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,714 : 1,073,428 = 1,073,428 : x
  2. Step 2: Convert to fraction form
    518,714/1,073,428 = 1,073,428/x
  3. Step 3: Cross multiply
    518,714x = 1,073,428 × 1,073,428
  4. Step 4: Simplify right side
    518,714x = 1,152,247,671,184
  5. Step 5: Solve for x
    x = 1,152,247,671,184/518,714
  6. Step 6: Final answer
    x = 2,221,354.49

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.