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Finding the Third Proportional to 1,566,734 and 2,113,896

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Solution

The third proportional to 1,566,734 and 2,113,896 is: 2,852,147.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566,734 : 2,113,896 = 2,113,896 : x
  2. Step 2: Convert to fraction form
    1,566,734/2,113,896 = 2,113,896/x
  3. Step 3: Cross multiply
    1,566,734x = 2,113,896 × 2,113,896
  4. Step 4: Simplify right side
    1,566,734x = 4,468,556,298,816
  5. Step 5: Solve for x
    x = 4,468,556,298,816/1,566,734
  6. Step 6: Final answer
    x = 2,852,147.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.