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Finding the Third Proportional to 745,850,514 and 1,170,019,355

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Solution

The third proportional to 745,850,514 and 1,170,019,355 is: 1,835,415,093.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,850,514 : 1,170,019,355 = 1,170,019,355 : x
  2. Step 2: Convert to fraction form
    745,850,514/1,170,019,355 = 1,170,019,355/x
  3. Step 3: Cross multiply
    745,850,514x = 1,170,019,355 × 1,170,019,355
  4. Step 4: Simplify right side
    745,850,514x = 1,368,945,291,074,616,064
  5. Step 5: Solve for x
    x = 1,368,945,291,074,616,064/745,850,514
  6. Step 6: Final answer
    x = 1,835,415,093.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.