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Finding the Third Proportional to 784,386 and 1,662,950.25

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Solution

The third proportional to 784,386 and 1,662,950.25 is: 3,525,564.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,386 : 1,662,950.25 = 1,662,950.25 : x
  2. Step 2: Convert to fraction form
    784,386/1,662,950.25 = 1,662,950.25/x
  3. Step 3: Cross multiply
    784,386x = 1,662,950.25 × 1,662,950.25
  4. Step 4: Simplify right side
    784,386x = 2,765,403,533,975.06
  5. Step 5: Solve for x
    x = 2,765,403,533,975.06/784,386
  6. Step 6: Final answer
    x = 3,525,564.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.