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Finding the Third Proportional to 736,088 and 1,578,582

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Solution

The third proportional to 736,088 and 1,578,582 is: 3,385,357.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,088 : 1,578,582 = 1,578,582 : x
  2. Step 2: Convert to fraction form
    736,088/1,578,582 = 1,578,582/x
  3. Step 3: Cross multiply
    736,088x = 1,578,582 × 1,578,582
  4. Step 4: Simplify right side
    736,088x = 2,491,921,130,724
  5. Step 5: Solve for x
    x = 2,491,921,130,724/736,088
  6. Step 6: Final answer
    x = 3,385,357.63

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.