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Finding the Third Proportional to 544,880,160 and 816,521,184

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Solution

The third proportional to 544,880,160 and 816,521,184 is: 1,223,584,363.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,880,160 : 816,521,184 = 816,521,184 : x
  2. Step 2: Convert to fraction form
    544,880,160/816,521,184 = 816,521,184/x
  3. Step 3: Cross multiply
    544,880,160x = 816,521,184 × 816,521,184
  4. Step 4: Simplify right side
    544,880,160x = 666,706,843,920,761,856
  5. Step 5: Solve for x
    x = 666,706,843,920,761,856/544,880,160
  6. Step 6: Final answer
    x = 1,223,584,363.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.