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Finding the Third Proportional to 657,132 and 1,412,412

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Solution

The third proportional to 657,132 and 1,412,412 is: 3,035,779.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,132 : 1,412,412 = 1,412,412 : x
  2. Step 2: Convert to fraction form
    657,132/1,412,412 = 1,412,412/x
  3. Step 3: Cross multiply
    657,132x = 1,412,412 × 1,412,412
  4. Step 4: Simplify right side
    657,132x = 1,994,907,657,744
  5. Step 5: Solve for x
    x = 1,994,907,657,744/657,132
  6. Step 6: Final answer
    x = 3,035,779.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.