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Finding the Third Proportional to 403,827,699 and 878,409,708

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Solution

The third proportional to 403,827,699 and 878,409,708 is: 1,910,724,838.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,827,699 : 878,409,708 = 878,409,708 : x
  2. Step 2: Convert to fraction form
    403,827,699/878,409,708 = 878,409,708/x
  3. Step 3: Cross multiply
    403,827,699x = 878,409,708 × 878,409,708
  4. Step 4: Simplify right side
    403,827,699x = 771,603,615,108,645,248
  5. Step 5: Solve for x
    x = 771,603,615,108,645,248/403,827,699
  6. Step 6: Final answer
    x = 1,910,724,838.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.