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Finding the Third Proportional to 657,595 and 1,413,452

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Solution

The third proportional to 657,595 and 1,413,452 is: 3,038,110.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,595 : 1,413,452 = 1,413,452 : x
  2. Step 2: Convert to fraction form
    657,595/1,413,452 = 1,413,452/x
  3. Step 3: Cross multiply
    657,595x = 1,413,452 × 1,413,452
  4. Step 4: Simplify right side
    657,595x = 1,997,846,556,304
  5. Step 5: Solve for x
    x = 1,997,846,556,304/657,595
  6. Step 6: Final answer
    x = 3,038,110.93

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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.