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Finding the Third Proportional to 690,012 and 1,047,465

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Solution

The third proportional to 690,012 and 1,047,465 is: 1,590,092.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,012 : 1,047,465 = 1,047,465 : x
  2. Step 2: Convert to fraction form
    690,012/1,047,465 = 1,047,465/x
  3. Step 3: Cross multiply
    690,012x = 1,047,465 × 1,047,465
  4. Step 4: Simplify right side
    690,012x = 1,097,182,926,225
  5. Step 5: Solve for x
    x = 1,097,182,926,225/690,012
  6. Step 6: Final answer
    x = 1,590,092.53

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.