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Finding the Third Proportional to 576,761,988 and 893,641,416

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Solution

The third proportional to 576,761,988 and 893,641,416 is: 1,384,617,913.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,761,988 : 893,641,416 = 893,641,416 : x
  2. Step 2: Convert to fraction form
    576,761,988/893,641,416 = 893,641,416/x
  3. Step 3: Cross multiply
    576,761,988x = 893,641,416 × 893,641,416
  4. Step 4: Simplify right side
    576,761,988x = 798,594,980,390,484,992
  5. Step 5: Solve for x
    x = 798,594,980,390,484,992/576,761,988
  6. Step 6: Final answer
    x = 1,384,617,913.47

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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.