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Finding the Third Proportional to 1,260,514 and 2,698,220

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Solution

The third proportional to 1,260,514 and 2,698,220 is: 5,775,732.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260,514 : 2,698,220 = 2,698,220 : x
  2. Step 2: Convert to fraction form
    1,260,514/2,698,220 = 2,698,220/x
  3. Step 3: Cross multiply
    1,260,514x = 2,698,220 × 2,698,220
  4. Step 4: Simplify right side
    1,260,514x = 7,280,391,168,400
  5. Step 5: Solve for x
    x = 7,280,391,168,400/1,260,514
  6. Step 6: Final answer
    x = 5,775,732.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.