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Finding the Third Proportional to 1,929,857 and 2,838,652.25

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Solution

The third proportional to 1,929,857 and 2,838,652.25 is: 4,175,411.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929,857 : 2,838,652.25 = 2,838,652.25 : x
  2. Step 2: Convert to fraction form
    1,929,857/2,838,652.25 = 2,838,652.25/x
  3. Step 3: Cross multiply
    1,929,857x = 2,838,652.25 × 2,838,652.25
  4. Step 4: Simplify right side
    1,929,857x = 8,057,946,596,430.06
  5. Step 5: Solve for x
    x = 8,057,946,596,430.06/1,929,857
  6. Step 6: Final answer
    x = 4,175,411.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.