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Finding the Third Proportional to 976,002 and 1,458,264

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Solution

The third proportional to 976,002 and 1,458,264 is: 2,178,821.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,002 : 1,458,264 = 1,458,264 : x
  2. Step 2: Convert to fraction form
    976,002/1,458,264 = 1,458,264/x
  3. Step 3: Cross multiply
    976,002x = 1,458,264 × 1,458,264
  4. Step 4: Simplify right side
    976,002x = 2,126,533,893,696
  5. Step 5: Solve for x
    x = 2,126,533,893,696/976,002
  6. Step 6: Final answer
    x = 2,178,821.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.