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Finding the Third Proportional to 614,642 and 1,330,370

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Solution

The third proportional to 614,642 and 1,330,370 is: 2,879,536.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,642 : 1,330,370 = 1,330,370 : x
  2. Step 2: Convert to fraction form
    614,642/1,330,370 = 1,330,370/x
  3. Step 3: Cross multiply
    614,642x = 1,330,370 × 1,330,370
  4. Step 4: Simplify right side
    614,642x = 1,769,884,336,900
  5. Step 5: Solve for x
    x = 1,769,884,336,900/614,642
  6. Step 6: Final answer
    x = 2,879,536.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.