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Finding the Third Proportional to 615,414 and 1,293,030

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Solution

The third proportional to 615,414 and 1,293,030 is: 2,716,750.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,414 : 1,293,030 = 1,293,030 : x
  2. Step 2: Convert to fraction form
    615,414/1,293,030 = 1,293,030/x
  3. Step 3: Cross multiply
    615,414x = 1,293,030 × 1,293,030
  4. Step 4: Simplify right side
    615,414x = 1,671,926,580,900
  5. Step 5: Solve for x
    x = 1,671,926,580,900/615,414
  6. Step 6: Final answer
    x = 2,716,750.97

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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.