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Finding the Third Proportional to 1,223,340 and 2,878,281

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Solution

The third proportional to 1,223,340 and 2,878,281 is: 6,772,035.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223,340 : 2,878,281 = 2,878,281 : x
  2. Step 2: Convert to fraction form
    1,223,340/2,878,281 = 2,878,281/x
  3. Step 3: Cross multiply
    1,223,340x = 2,878,281 × 2,878,281
  4. Step 4: Simplify right side
    1,223,340x = 8,284,501,514,961
  5. Step 5: Solve for x
    x = 8,284,501,514,961/1,223,340
  6. Step 6: Final answer
    x = 6,772,035.18

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.