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Finding the Third Proportional to 564,558,685 and 1,175,512,576

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Solution

The third proportional to 564,558,685 and 1,175,512,576 is: 2,447,628,303.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,558,685 : 1,175,512,576 = 1,175,512,576 : x
  2. Step 2: Convert to fraction form
    564,558,685/1,175,512,576 = 1,175,512,576/x
  3. Step 3: Cross multiply
    564,558,685x = 1,175,512,576 × 1,175,512,576
  4. Step 4: Simplify right side
    564,558,685x = 1,381,829,816,334,155,776
  5. Step 5: Solve for x
    x = 1,381,829,816,334,155,776/564,558,685
  6. Step 6: Final answer
    x = 2,447,628,303.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.