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Finding the Third Proportional to 957,497 and 1,456,140

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Solution

The third proportional to 957,497 and 1,456,140 is: 2,214,465.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,497 : 1,456,140 = 1,456,140 : x
  2. Step 2: Convert to fraction form
    957,497/1,456,140 = 1,456,140/x
  3. Step 3: Cross multiply
    957,497x = 1,456,140 × 1,456,140
  4. Step 4: Simplify right side
    957,497x = 2,120,343,699,600
  5. Step 5: Solve for x
    x = 2,120,343,699,600/957,497
  6. Step 6: Final answer
    x = 2,214,465.11

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.