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Finding the Third Proportional to 615,783 and 1,343,022

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Solution

The third proportional to 615,783 and 1,343,022 is: 2,929,129.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,783 : 1,343,022 = 1,343,022 : x
  2. Step 2: Convert to fraction form
    615,783/1,343,022 = 1,343,022/x
  3. Step 3: Cross multiply
    615,783x = 1,343,022 × 1,343,022
  4. Step 4: Simplify right side
    615,783x = 1,803,708,092,484
  5. Step 5: Solve for x
    x = 1,803,708,092,484/615,783
  6. Step 6: Final answer
    x = 2,929,129.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.