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Finding the Third Proportional to 528,153 and 1,140,471

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Solution

The third proportional to 528,153 and 1,140,471 is: 2,462,684.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,153 : 1,140,471 = 1,140,471 : x
  2. Step 2: Convert to fraction form
    528,153/1,140,471 = 1,140,471/x
  3. Step 3: Cross multiply
    528,153x = 1,140,471 × 1,140,471
  4. Step 4: Simplify right side
    528,153x = 1,300,674,101,841
  5. Step 5: Solve for x
    x = 1,300,674,101,841/528,153
  6. Step 6: Final answer
    x = 2,462,684.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.