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Finding the Third Proportional to 901,752 and 1,349,784

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Solution

The third proportional to 901,752 and 1,349,784 is: 2,020,418.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,752 : 1,349,784 = 1,349,784 : x
  2. Step 2: Convert to fraction form
    901,752/1,349,784 = 1,349,784/x
  3. Step 3: Cross multiply
    901,752x = 1,349,784 × 1,349,784
  4. Step 4: Simplify right side
    901,752x = 1,821,916,846,656
  5. Step 5: Solve for x
    x = 1,821,916,846,656/901,752
  6. Step 6: Final answer
    x = 2,020,418.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.