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Finding the Third Proportional to 615,422 and 1,293,046

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Solution

The third proportional to 615,422 and 1,293,046 is: 2,716,782.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,422 : 1,293,046 = 1,293,046 : x
  2. Step 2: Convert to fraction form
    615,422/1,293,046 = 1,293,046/x
  3. Step 3: Cross multiply
    615,422x = 1,293,046 × 1,293,046
  4. Step 4: Simplify right side
    615,422x = 1,671,967,958,116
  5. Step 5: Solve for x
    x = 1,671,967,958,116/615,422
  6. Step 6: Final answer
    x = 2,716,782.89

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.