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Finding the Third Proportional to 644,985 and 1,506,150

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Solution

The third proportional to 644,985 and 1,506,150 is: 3,517,117.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,985 : 1,506,150 = 1,506,150 : x
  2. Step 2: Convert to fraction form
    644,985/1,506,150 = 1,506,150/x
  3. Step 3: Cross multiply
    644,985x = 1,506,150 × 1,506,150
  4. Step 4: Simplify right side
    644,985x = 2,268,487,822,500
  5. Step 5: Solve for x
    x = 2,268,487,822,500/644,985
  6. Step 6: Final answer
    x = 3,517,117.18

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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.