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Finding the Third Proportional to 1,087,009 and 2,361,312

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Solution

The third proportional to 1,087,009 and 2,361,312 is: 5,129,483.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087,009 : 2,361,312 = 2,361,312 : x
  2. Step 2: Convert to fraction form
    1,087,009/2,361,312 = 2,361,312/x
  3. Step 3: Cross multiply
    1,087,009x = 2,361,312 × 2,361,312
  4. Step 4: Simplify right side
    1,087,009x = 5,575,794,361,344
  5. Step 5: Solve for x
    x = 5,575,794,361,344/1,087,009
  6. Step 6: Final answer
    x = 5,129,483.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.