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Finding the Third Proportional to 1,564,937 and 3,428,764

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Solution

The third proportional to 1,564,937 and 3,428,764 is: 7,512,393.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564,937 : 3,428,764 = 3,428,764 : x
  2. Step 2: Convert to fraction form
    1,564,937/3,428,764 = 3,428,764/x
  3. Step 3: Cross multiply
    1,564,937x = 3,428,764 × 3,428,764
  4. Step 4: Simplify right side
    1,564,937x = 11,756,422,567,696
  5. Step 5: Solve for x
    x = 11,756,422,567,696/1,564,937
  6. Step 6: Final answer
    x = 7,512,393.51

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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.