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Finding the Third Proportional to 478,444 and 1,036,160

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Solution

The third proportional to 478,444 and 1,036,160 is: 2,243,998.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,444 : 1,036,160 = 1,036,160 : x
  2. Step 2: Convert to fraction form
    478,444/1,036,160 = 1,036,160/x
  3. Step 3: Cross multiply
    478,444x = 1,036,160 × 1,036,160
  4. Step 4: Simplify right side
    478,444x = 1,073,627,545,600
  5. Step 5: Solve for x
    x = 1,073,627,545,600/478,444
  6. Step 6: Final answer
    x = 2,243,998.35

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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.