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Finding the Third Proportional to 700,724 and 1,537,096

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Solution

The third proportional to 700,724 and 1,537,096 is: 3,371,747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,724 : 1,537,096 = 1,537,096 : x
  2. Step 2: Convert to fraction form
    700,724/1,537,096 = 1,537,096/x
  3. Step 3: Cross multiply
    700,724x = 1,537,096 × 1,537,096
  4. Step 4: Simplify right side
    700,724x = 2,362,664,113,216
  5. Step 5: Solve for x
    x = 2,362,664,113,216/700,724
  6. Step 6: Final answer
    x = 3,371,747.10

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.