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Finding the Third Proportional to 581,426,542 and 893,692,698

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Solution

The third proportional to 581,426,542 and 893,692,698 is: 1,373,667,317.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,426,542 : 893,692,698 = 893,692,698 : x
  2. Step 2: Convert to fraction form
    581,426,542/893,692,698 = 893,692,698/x
  3. Step 3: Cross multiply
    581,426,542x = 893,692,698 × 893,692,698
  4. Step 4: Simplify right side
    581,426,542x = 798,686,638,458,519,168
  5. Step 5: Solve for x
    x = 798,686,638,458,519,168/581,426,542
  6. Step 6: Final answer
    x = 1,373,667,317.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.