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Finding the Third Proportional to 654,988 and 1,041,532

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Solution

The third proportional to 654,988 and 1,041,532 is: 1,656,196.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,988 : 1,041,532 = 1,041,532 : x
  2. Step 2: Convert to fraction form
    654,988/1,041,532 = 1,041,532/x
  3. Step 3: Cross multiply
    654,988x = 1,041,532 × 1,041,532
  4. Step 4: Simplify right side
    654,988x = 1,084,788,907,024
  5. Step 5: Solve for x
    x = 1,084,788,907,024/654,988
  6. Step 6: Final answer
    x = 1,656,196.61

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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.