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Finding the Third Proportional to 702,314 and 1,051,546

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Solution

The third proportional to 702,314 and 1,051,546 is: 1,574,436.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,314 : 1,051,546 = 1,051,546 : x
  2. Step 2: Convert to fraction form
    702,314/1,051,546 = 1,051,546/x
  3. Step 3: Cross multiply
    702,314x = 1,051,546 × 1,051,546
  4. Step 4: Simplify right side
    702,314x = 1,105,748,990,116
  5. Step 5: Solve for x
    x = 1,105,748,990,116/702,314
  6. Step 6: Final answer
    x = 1,574,436.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.