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Finding the Third Proportional to 713,327,368 and 1,004,522,124

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Solution

The third proportional to 713,327,368 and 1,004,522,124 is: 1,414,588,508.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,327,368 : 1,004,522,124 = 1,004,522,124 : x
  2. Step 2: Convert to fraction form
    713,327,368/1,004,522,124 = 1,004,522,124/x
  3. Step 3: Cross multiply
    713,327,368x = 1,004,522,124 × 1,004,522,124
  4. Step 4: Simplify right side
    713,327,368x = 1,009,064,697,605,471,360
  5. Step 5: Solve for x
    x = 1,009,064,697,605,471,360/713,327,368
  6. Step 6: Final answer
    x = 1,414,588,508.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.