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Finding the Third Proportional to 830,520 and 1,806,840

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Solution

The third proportional to 830,520 and 1,806,840 is: 3,930,875.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,520 : 1,806,840 = 1,806,840 : x
  2. Step 2: Convert to fraction form
    830,520/1,806,840 = 1,806,840/x
  3. Step 3: Cross multiply
    830,520x = 1,806,840 × 1,806,840
  4. Step 4: Simplify right side
    830,520x = 3,264,670,785,600
  5. Step 5: Solve for x
    x = 3,264,670,785,600/830,520
  6. Step 6: Final answer
    x = 3,930,875.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.