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Finding the Third Proportional to 528,032 and 1,157,395

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Solution

The third proportional to 528,032 and 1,157,395 is: 2,536,897.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,032 : 1,157,395 = 1,157,395 : x
  2. Step 2: Convert to fraction form
    528,032/1,157,395 = 1,157,395/x
  3. Step 3: Cross multiply
    528,032x = 1,157,395 × 1,157,395
  4. Step 4: Simplify right side
    528,032x = 1,339,563,186,025
  5. Step 5: Solve for x
    x = 1,339,563,186,025/528,032
  6. Step 6: Final answer
    x = 2,536,897.74

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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.