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Finding the Third Proportional to 403,827,541 and 878,409,513

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Solution

The third proportional to 403,827,541 and 878,409,513 is: 1,910,724,738.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,827,541 : 878,409,513 = 878,409,513 : x
  2. Step 2: Convert to fraction form
    403,827,541/878,409,513 = 878,409,513/x
  3. Step 3: Cross multiply
    403,827,541x = 878,409,513 × 878,409,513
  4. Step 4: Simplify right side
    403,827,541x = 771,603,272,528,897,152
  5. Step 5: Solve for x
    x = 771,603,272,528,897,152/403,827,541
  6. Step 6: Final answer
    x = 1,910,724,738.13

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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.