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Finding the Third Proportional to 719,070 and 1,564,932

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Solution

The third proportional to 719,070 and 1,564,932 is: 3,405,804.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,070 : 1,564,932 = 1,564,932 : x
  2. Step 2: Convert to fraction form
    719,070/1,564,932 = 1,564,932/x
  3. Step 3: Cross multiply
    719,070x = 1,564,932 × 1,564,932
  4. Step 4: Simplify right side
    719,070x = 2,449,012,164,624
  5. Step 5: Solve for x
    x = 2,449,012,164,624/719,070
  6. Step 6: Final answer
    x = 3,405,804.95

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.