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Finding the Third Proportional to 437,419,574 and 615,284,895

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Solution

The third proportional to 437,419,574 and 615,284,895 is: 865,474,534.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,419,574 : 615,284,895 = 615,284,895 : x
  2. Step 2: Convert to fraction form
    437,419,574/615,284,895 = 615,284,895/x
  3. Step 3: Cross multiply
    437,419,574x = 615,284,895 × 615,284,895
  4. Step 4: Simplify right side
    437,419,574x = 378,575,502,015,161,024
  5. Step 5: Solve for x
    x = 378,575,502,015,161,024/437,419,574
  6. Step 6: Final answer
    x = 865,474,534.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.