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Finding the Third Proportional to 830,549.56 and 1,246,602.81

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Solution

The third proportional to 830,549.56 and 1,246,602.81 is: 1,871,072.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,549.56 : 1,246,602.81 = 1,246,602.81 : x
  2. Step 2: Convert to fraction form
    830,549.56/1,246,602.81 = 1,246,602.81/x
  3. Step 3: Cross multiply
    830,549.56x = 1,246,602.81 × 1,246,602.81
  4. Step 4: Simplify right side
    830,549.56x = 1,554,018,577,002.39
  5. Step 5: Solve for x
    x = 1,554,018,577,002.39/830,549.56
  6. Step 6: Final answer
    x = 1,871,072.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.