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Finding the Third Proportional to 661,448 and 1,051,248

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Solution

The third proportional to 661,448 and 1,051,248 is: 1,670,762.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,448 : 1,051,248 = 1,051,248 : x
  2. Step 2: Convert to fraction form
    661,448/1,051,248 = 1,051,248/x
  3. Step 3: Cross multiply
    661,448x = 1,051,248 × 1,051,248
  4. Step 4: Simplify right side
    661,448x = 1,105,122,357,504
  5. Step 5: Solve for x
    x = 1,105,122,357,504/661,448
  6. Step 6: Final answer
    x = 1,670,762.26

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.