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Finding the Third Proportional to 654,994 and 1,041,546

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Solution

The third proportional to 654,994 and 1,041,546 is: 1,656,225.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,994 : 1,041,546 = 1,041,546 : x
  2. Step 2: Convert to fraction form
    654,994/1,041,546 = 1,041,546/x
  3. Step 3: Cross multiply
    654,994x = 1,041,546 × 1,041,546
  4. Step 4: Simplify right side
    654,994x = 1,084,818,070,116
  5. Step 5: Solve for x
    x = 1,084,818,070,116/654,994
  6. Step 6: Final answer
    x = 1,656,225.97

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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.