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Finding the Third Proportional to 734,020.95 and 1,122,970.08

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Solution

The third proportional to 734,020.95 and 1,122,970.08 is: 1,718,018.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,020.95 : 1,122,970.08 = 1,122,970.08 : x
  2. Step 2: Convert to fraction form
    734,020.95/1,122,970.08 = 1,122,970.08/x
  3. Step 3: Cross multiply
    734,020.95x = 1,122,970.08 × 1,122,970.08
  4. Step 4: Simplify right side
    734,020.95x = 1,261,061,796,364.07
  5. Step 5: Solve for x
    x = 1,261,061,796,364.07/734,020.95
  6. Step 6: Final answer
    x = 1,718,018.82

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.