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Finding the Third Proportional to 1,307,287.69 and 2,803,685.06

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Solution

The third proportional to 1,307,287.69 and 2,803,685.06 is: 6,012,945.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307,287.69 : 2,803,685.06 = 2,803,685.06 : x
  2. Step 2: Convert to fraction form
    1,307,287.69/2,803,685.06 = 2,803,685.06/x
  3. Step 3: Cross multiply
    1,307,287.69x = 2,803,685.06 × 2,803,685.06
  4. Step 4: Simplify right side
    1,307,287.69x = 7,860,649,929,685.63
  5. Step 5: Solve for x
    x = 7,860,649,929,685.63/1,307,287.69
  6. Step 6: Final answer
    x = 6,012,945.74

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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.