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Finding the Third Proportional to 478,732 and 1,036,712

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Solution

The third proportional to 478,732 and 1,036,712 is: 2,245,038.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,732 : 1,036,712 = 1,036,712 : x
  2. Step 2: Convert to fraction form
    478,732/1,036,712 = 1,036,712/x
  3. Step 3: Cross multiply
    478,732x = 1,036,712 × 1,036,712
  4. Step 4: Simplify right side
    478,732x = 1,074,771,770,944
  5. Step 5: Solve for x
    x = 1,074,771,770,944/478,732
  6. Step 6: Final answer
    x = 2,245,038.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.