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Finding the Third Proportional to 608,064 and 1,407,506

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Solution

The third proportional to 608,064 and 1,407,506 is: 3,258,001.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,064 : 1,407,506 = 1,407,506 : x
  2. Step 2: Convert to fraction form
    608,064/1,407,506 = 1,407,506/x
  3. Step 3: Cross multiply
    608,064x = 1,407,506 × 1,407,506
  4. Step 4: Simplify right side
    608,064x = 1,981,073,140,036
  5. Step 5: Solve for x
    x = 1,981,073,140,036/608,064
  6. Step 6: Final answer
    x = 3,258,001.03

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.