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Finding the Third Proportional to 410,713,803 and 968,568,597

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Solution

The third proportional to 410,713,803 and 968,568,597 is: 2,284,133,428.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,713,803 : 968,568,597 = 968,568,597 : x
  2. Step 2: Convert to fraction form
    410,713,803/968,568,597 = 968,568,597/x
  3. Step 3: Cross multiply
    410,713,803x = 968,568,597 × 968,568,597
  4. Step 4: Simplify right side
    410,713,803x = 938,125,127,094,548,352
  5. Step 5: Solve for x
    x = 938,125,127,094,548,352/410,713,803
  6. Step 6: Final answer
    x = 2,284,133,428.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.