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Finding the Third Proportional to 615,886 and 978,078

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Solution

The third proportional to 615,886 and 978,078 is: 1,553,268.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,886 : 978,078 = 978,078 : x
  2. Step 2: Convert to fraction form
    615,886/978,078 = 978,078/x
  3. Step 3: Cross multiply
    615,886x = 978,078 × 978,078
  4. Step 4: Simplify right side
    615,886x = 956,636,574,084
  5. Step 5: Solve for x
    x = 956,636,574,084/615,886
  6. Step 6: Final answer
    x = 1,553,268.91

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.