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Finding the Third Proportional to 528,034 and 1,157,399

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Solution

The third proportional to 528,034 and 1,157,399 is: 2,536,905.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,034 : 1,157,399 = 1,157,399 : x
  2. Step 2: Convert to fraction form
    528,034/1,157,399 = 1,157,399/x
  3. Step 3: Cross multiply
    528,034x = 1,157,399 × 1,157,399
  4. Step 4: Simplify right side
    528,034x = 1,339,572,445,201
  5. Step 5: Solve for x
    x = 1,339,572,445,201/528,034
  6. Step 6: Final answer
    x = 2,536,905.66

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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.