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Finding the Third Proportional to 816,590 and 1,201,557

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Solution

The third proportional to 816,590 and 1,201,557 is: 1,768,009.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,590 : 1,201,557 = 1,201,557 : x
  2. Step 2: Convert to fraction form
    816,590/1,201,557 = 1,201,557/x
  3. Step 3: Cross multiply
    816,590x = 1,201,557 × 1,201,557
  4. Step 4: Simplify right side
    816,590x = 1,443,739,224,249
  5. Step 5: Solve for x
    x = 1,443,739,224,249/816,590
  6. Step 6: Final answer
    x = 1,768,009.92

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.