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Finding the Third Proportional to 401,004,146 and 638,076,413

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Solution

The third proportional to 401,004,146 and 638,076,413 is: 1,015,304,985.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,004,146 : 638,076,413 = 638,076,413 : x
  2. Step 2: Convert to fraction form
    401,004,146/638,076,413 = 638,076,413/x
  3. Step 3: Cross multiply
    401,004,146x = 638,076,413 × 638,076,413
  4. Step 4: Simplify right side
    401,004,146x = 407,141,508,826,946,560
  5. Step 5: Solve for x
    x = 407,141,508,826,946,560/401,004,146
  6. Step 6: Final answer
    x = 1,015,304,985.97

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.