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Finding the Third Proportional to 700,724 and 1,537,095

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Solution

The third proportional to 700,724 and 1,537,095 is: 3,371,742.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,724 : 1,537,095 = 1,537,095 : x
  2. Step 2: Convert to fraction form
    700,724/1,537,095 = 1,537,095/x
  3. Step 3: Cross multiply
    700,724x = 1,537,095 × 1,537,095
  4. Step 4: Simplify right side
    700,724x = 2,362,661,039,025
  5. Step 5: Solve for x
    x = 2,362,661,039,025/700,724
  6. Step 6: Final answer
    x = 3,371,742.71

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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.