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Finding the Third Proportional to 616,064.44 and 1,348,078.87

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Solution

The third proportional to 616,064.44 and 1,348,078.87 is: 2,949,880.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,064.44 : 1,348,078.87 = 1,348,078.87 : x
  2. Step 2: Convert to fraction form
    616,064.44/1,348,078.87 = 1,348,078.87/x
  3. Step 3: Cross multiply
    616,064.44x = 1,348,078.87 × 1,348,078.87
  4. Step 4: Simplify right side
    616,064.44x = 1,817,316,631,499.40
  5. Step 5: Solve for x
    x = 1,817,316,631,499.40/616,064.44
  6. Step 6: Final answer
    x = 2,949,880.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.