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Finding the Third Proportional to 830,596 and 1,776,362

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Solution

The third proportional to 830,596 and 1,776,362 is: 3,799,033.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,596 : 1,776,362 = 1,776,362 : x
  2. Step 2: Convert to fraction form
    830,596/1,776,362 = 1,776,362/x
  3. Step 3: Cross multiply
    830,596x = 1,776,362 × 1,776,362
  4. Step 4: Simplify right side
    830,596x = 3,155,461,955,044
  5. Step 5: Solve for x
    x = 3,155,461,955,044/830,596
  6. Step 6: Final answer
    x = 3,799,033.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.