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Finding the Third Proportional to 774,421.50 and 1,677,526.50

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Solution

The third proportional to 774,421.50 and 1,677,526.50 is: 3,633,802.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,421.50 : 1,677,526.50 = 1,677,526.50 : x
  2. Step 2: Convert to fraction form
    774,421.50/1,677,526.50 = 1,677,526.50/x
  3. Step 3: Cross multiply
    774,421.50x = 1,677,526.50 × 1,677,526.50
  4. Step 4: Simplify right side
    774,421.50x = 2,814,095,158,202.25
  5. Step 5: Solve for x
    x = 2,814,095,158,202.25/774,421.50
  6. Step 6: Final answer
    x = 3,633,802.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.