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Finding the Third Proportional to 2,895,862 and 6,348,076

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Solution

The third proportional to 2,895,862 and 6,348,076 is: 13,915,742.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895,862 : 6,348,076 = 6,348,076 : x
  2. Step 2: Convert to fraction form
    2,895,862/6,348,076 = 6,348,076/x
  3. Step 3: Cross multiply
    2,895,862x = 6,348,076 × 6,348,076
  4. Step 4: Simplify right side
    2,895,862x = 40,298,068,901,776
  5. Step 5: Solve for x
    x = 40,298,068,901,776/2,895,862
  6. Step 6: Final answer
    x = 13,915,742.15

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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.