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Finding the Third Proportional to 387,130 and 835,490

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Solution

The third proportional to 387,130 and 835,490 is: 1,803,124.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,130 : 835,490 = 835,490 : x
  2. Step 2: Convert to fraction form
    387,130/835,490 = 835,490/x
  3. Step 3: Cross multiply
    387,130x = 835,490 × 835,490
  4. Step 4: Simplify right side
    387,130x = 698,043,540,100
  5. Step 5: Solve for x
    x = 698,043,540,100/387,130
  6. Step 6: Final answer
    x = 1,803,124.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.