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Finding the Third Proportional to 541,983 and 1,167,209

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Solution

The third proportional to 541,983 and 1,167,209 is: 2,513,689.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,983 : 1,167,209 = 1,167,209 : x
  2. Step 2: Convert to fraction form
    541,983/1,167,209 = 1,167,209/x
  3. Step 3: Cross multiply
    541,983x = 1,167,209 × 1,167,209
  4. Step 4: Simplify right side
    541,983x = 1,362,376,849,681
  5. Step 5: Solve for x
    x = 1,362,376,849,681/541,983
  6. Step 6: Final answer
    x = 2,513,689.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.