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Finding the Third Proportional to 576,762,855 and 893,642,715

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Solution

The third proportional to 576,762,855 and 893,642,715 is: 1,384,619,857.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,762,855 : 893,642,715 = 893,642,715 : x
  2. Step 2: Convert to fraction form
    576,762,855/893,642,715 = 893,642,715/x
  3. Step 3: Cross multiply
    576,762,855x = 893,642,715 × 893,642,715
  4. Step 4: Simplify right side
    576,762,855x = 798,597,302,072,571,264
  5. Step 5: Solve for x
    x = 798,597,302,072,571,264/576,762,855
  6. Step 6: Final answer
    x = 1,384,619,857.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.