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Finding the Third Proportional to 974,672 and 1,462,008

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Solution

The third proportional to 974,672 and 1,462,008 is: 2,193,012

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,672 : 1,462,008 = 1,462,008 : x
  2. Step 2: Convert to fraction form
    974,672/1,462,008 = 1,462,008/x
  3. Step 3: Cross multiply
    974,672x = 1,462,008 × 1,462,008
  4. Step 4: Simplify right side
    974,672x = 2,137,467,392,064
  5. Step 5: Solve for x
    x = 2,137,467,392,064/974,672
  6. Step 6: Final answer
    x = 2,193,012

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.