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Finding the Third Proportional to 1,223,346 and 2,878,277

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Solution

The third proportional to 1,223,346 and 2,878,277 is: 6,771,983.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223,346 : 2,878,277 = 2,878,277 : x
  2. Step 2: Convert to fraction form
    1,223,346/2,878,277 = 2,878,277/x
  3. Step 3: Cross multiply
    1,223,346x = 2,878,277 × 2,878,277
  4. Step 4: Simplify right side
    1,223,346x = 8,284,478,488,729
  5. Step 5: Solve for x
    x = 8,284,478,488,729/1,223,346
  6. Step 6: Final answer
    x = 6,771,983.14

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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.