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Finding the Third Proportional to 926,102 and 2,029,297

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Solution

The third proportional to 926,102 and 2,029,297 is: 4,446,644.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    926,102 : 2,029,297 = 2,029,297 : x
  2. Step 2: Convert to fraction form
    926,102/2,029,297 = 2,029,297/x
  3. Step 3: Cross multiply
    926,102x = 2,029,297 × 2,029,297
  4. Step 4: Simplify right side
    926,102x = 4,118,046,314,209
  5. Step 5: Solve for x
    x = 4,118,046,314,209/926,102
  6. Step 6: Final answer
    x = 4,446,644.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.