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Finding the Third Proportional to 492,294 and 1,075,708

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Solution

The third proportional to 492,294 and 1,075,708 is: 2,350,521.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,294 : 1,075,708 = 1,075,708 : x
  2. Step 2: Convert to fraction form
    492,294/1,075,708 = 1,075,708/x
  3. Step 3: Cross multiply
    492,294x = 1,075,708 × 1,075,708
  4. Step 4: Simplify right side
    492,294x = 1,157,147,701,264
  5. Step 5: Solve for x
    x = 1,157,147,701,264/492,294
  6. Step 6: Final answer
    x = 2,350,521.64

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.