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Finding the Third Proportional to 478,660,714 and 1,048,123,116

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Solution

The third proportional to 478,660,714 and 1,048,123,116 is: 2,295,074,640.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,660,714 : 1,048,123,116 = 1,048,123,116 : x
  2. Step 2: Convert to fraction form
    478,660,714/1,048,123,116 = 1,048,123,116/x
  3. Step 3: Cross multiply
    478,660,714x = 1,048,123,116 × 1,048,123,116
  4. Step 4: Simplify right side
    478,660,714x = 1,098,562,066,293,549,440
  5. Step 5: Solve for x
    x = 1,098,562,066,293,549,440/478,660,714
  6. Step 6: Final answer
    x = 2,295,074,640.89

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.