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Finding the Third Proportional to 918,785,748 and 1,412,240,130

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Solution

The third proportional to 918,785,748 and 1,412,240,130 is: 2,170,715,195.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,785,748 : 1,412,240,130 = 1,412,240,130 : x
  2. Step 2: Convert to fraction form
    918,785,748/1,412,240,130 = 1,412,240,130/x
  3. Step 3: Cross multiply
    918,785,748x = 1,412,240,130 × 1,412,240,130
  4. Step 4: Simplify right side
    918,785,748x = 1,994,422,184,782,416,896
  5. Step 5: Solve for x
    x = 1,994,422,184,782,416,896/918,785,748
  6. Step 6: Final answer
    x = 2,170,715,195.71

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.