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Finding the Third Proportional to 830,439 and 1,301,014.50

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Solution

The third proportional to 830,439 and 1,301,014.50 is: 2,038,245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,439 : 1,301,014.50 = 1,301,014.50 : x
  2. Step 2: Convert to fraction form
    830,439/1,301,014.50 = 1,301,014.50/x
  3. Step 3: Cross multiply
    830,439x = 1,301,014.50 × 1,301,014.50
  4. Step 4: Simplify right side
    830,439x = 1,692,638,729,210.25
  5. Step 5: Solve for x
    x = 1,692,638,729,210.25/830,439
  6. Step 6: Final answer
    x = 2,038,245.71

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.