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Finding the Third Proportional to 1,748,574 and 3,762,868.50

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Solution

The third proportional to 1,748,574 and 3,762,868.50 is: 8,097,557.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748,574 : 3,762,868.50 = 3,762,868.50 : x
  2. Step 2: Convert to fraction form
    1,748,574/3,762,868.50 = 3,762,868.50/x
  3. Step 3: Cross multiply
    1,748,574x = 3,762,868.50 × 3,762,868.50
  4. Step 4: Simplify right side
    1,748,574x = 14,159,179,348,292.25
  5. Step 5: Solve for x
    x = 14,159,179,348,292.25/1,748,574
  6. Step 6: Final answer
    x = 8,097,557.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.