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Finding the Third Proportional to 546,154 and 847,983

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Solution

The third proportional to 546,154 and 847,983 is: 1,316,616.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,154 : 847,983 = 847,983 : x
  2. Step 2: Convert to fraction form
    546,154/847,983 = 847,983/x
  3. Step 3: Cross multiply
    546,154x = 847,983 × 847,983
  4. Step 4: Simplify right side
    546,154x = 719,075,168,289
  5. Step 5: Solve for x
    x = 719,075,168,289/546,154
  6. Step 6: Final answer
    x = 1,316,616.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.