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Finding the Third Proportional to 763,096 and 1,506,986

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Solution

The third proportional to 763,096 and 1,506,986 is: 2,976,043.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,096 : 1,506,986 = 1,506,986 : x
  2. Step 2: Convert to fraction form
    763,096/1,506,986 = 1,506,986/x
  3. Step 3: Cross multiply
    763,096x = 1,506,986 × 1,506,986
  4. Step 4: Simplify right side
    763,096x = 2,271,006,804,196
  5. Step 5: Solve for x
    x = 2,271,006,804,196/763,096
  6. Step 6: Final answer
    x = 2,976,043.39

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.