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Finding the Third Proportional to 898,256 and 1,963,088

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Solution

The third proportional to 898,256 and 1,963,088 is: 4,290,218.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,256 : 1,963,088 = 1,963,088 : x
  2. Step 2: Convert to fraction form
    898,256/1,963,088 = 1,963,088/x
  3. Step 3: Cross multiply
    898,256x = 1,963,088 × 1,963,088
  4. Step 4: Simplify right side
    898,256x = 3,853,714,495,744
  5. Step 5: Solve for x
    x = 3,853,714,495,744/898,256
  6. Step 6: Final answer
    x = 4,290,218.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.