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Finding the Third Proportional to 403,827,542 and 878,409,516

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Solution

The third proportional to 403,827,542 and 878,409,516 is: 1,910,724,746.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,827,542 : 878,409,516 = 878,409,516 : x
  2. Step 2: Convert to fraction form
    403,827,542/878,409,516 = 878,409,516/x
  3. Step 3: Cross multiply
    403,827,542x = 878,409,516 × 878,409,516
  4. Step 4: Simplify right side
    403,827,542x = 771,603,277,799,354,240
  5. Step 5: Solve for x
    x = 771,603,277,799,354,240/403,827,542
  6. Step 6: Final answer
    x = 1,910,724,746.45

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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.