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Finding the Third Proportional to 615,844 and 949,046

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Solution

The third proportional to 615,844 and 949,046 is: 1,462,526.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,844 : 949,046 = 949,046 : x
  2. Step 2: Convert to fraction form
    615,844/949,046 = 949,046/x
  3. Step 3: Cross multiply
    615,844x = 949,046 × 949,046
  4. Step 4: Simplify right side
    615,844x = 900,688,310,116
  5. Step 5: Solve for x
    x = 900,688,310,116/615,844
  6. Step 6: Final answer
    x = 1,462,526.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.