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Finding the Third Proportional to 598,291,438 and 895,045,509

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Solution

The third proportional to 598,291,438 and 895,045,509 is: 1,338,990,352.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,291,438 : 895,045,509 = 895,045,509 : x
  2. Step 2: Convert to fraction form
    598,291,438/895,045,509 = 895,045,509/x
  3. Step 3: Cross multiply
    598,291,438x = 895,045,509 × 895,045,509
  4. Step 4: Simplify right side
    598,291,438x = 801,106,463,181,069,056
  5. Step 5: Solve for x
    x = 801,106,463,181,069,056/598,291,438
  6. Step 6: Final answer
    x = 1,338,990,352.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.