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Finding the Third Proportional to 615,927 and 1,316,973

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Solution

The third proportional to 615,927 and 1,316,973 is: 2,815,947.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,927 : 1,316,973 = 1,316,973 : x
  2. Step 2: Convert to fraction form
    615,927/1,316,973 = 1,316,973/x
  3. Step 3: Cross multiply
    615,927x = 1,316,973 × 1,316,973
  4. Step 4: Simplify right side
    615,927x = 1,734,417,882,729
  5. Step 5: Solve for x
    x = 1,734,417,882,729/615,927
  6. Step 6: Final answer
    x = 2,815,947.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.