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Finding the Third Proportional to 546,088 and 854,804

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Solution

The third proportional to 546,088 and 854,804 is: 1,338,044.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,088 : 854,804 = 854,804 : x
  2. Step 2: Convert to fraction form
    546,088/854,804 = 854,804/x
  3. Step 3: Cross multiply
    546,088x = 854,804 × 854,804
  4. Step 4: Simplify right side
    546,088x = 730,689,878,416
  5. Step 5: Solve for x
    x = 730,689,878,416/546,088
  6. Step 6: Final answer
    x = 1,338,044.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.