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Finding the Third Proportional to 615,762 and 922,721.63

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Solution

The third proportional to 615,762 and 922,721.63 is: 1,382,701.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,762 : 922,721.63 = 922,721.63 : x
  2. Step 2: Convert to fraction form
    615,762/922,721.63 = 922,721.63/x
  3. Step 3: Cross multiply
    615,762x = 922,721.63 × 922,721.63
  4. Step 4: Simplify right side
    615,762x = 851,415,197,242.64
  5. Step 5: Solve for x
    x = 851,415,197,242.64/615,762
  6. Step 6: Final answer
    x = 1,382,701.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.