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Finding the Third Proportional to 1,155,828 and 1,533,664

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Solution

The third proportional to 1,155,828 and 1,533,664 is: 2,035,013.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155,828 : 1,533,664 = 1,533,664 : x
  2. Step 2: Convert to fraction form
    1,155,828/1,533,664 = 1,533,664/x
  3. Step 3: Cross multiply
    1,155,828x = 1,533,664 × 1,533,664
  4. Step 4: Simplify right side
    1,155,828x = 2,352,125,264,896
  5. Step 5: Solve for x
    x = 2,352,125,264,896/1,155,828
  6. Step 6: Final answer
    x = 2,035,013.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.