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Finding the Third Proportional to 644,964 and 1,506,096

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Solution

The third proportional to 644,964 and 1,506,096 is: 3,516,979.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,964 : 1,506,096 = 1,506,096 : x
  2. Step 2: Convert to fraction form
    644,964/1,506,096 = 1,506,096/x
  3. Step 3: Cross multiply
    644,964x = 1,506,096 × 1,506,096
  4. Step 4: Simplify right side
    644,964x = 2,268,325,161,216
  5. Step 5: Solve for x
    x = 2,268,325,161,216/644,964
  6. Step 6: Final answer
    x = 3,516,979.49

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.