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Finding the Third Proportional to 560,970 and 1,207,473

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Solution

The third proportional to 560,970 and 1,207,473 is: 2,599,053.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,970 : 1,207,473 = 1,207,473 : x
  2. Step 2: Convert to fraction form
    560,970/1,207,473 = 1,207,473/x
  3. Step 3: Cross multiply
    560,970x = 1,207,473 × 1,207,473
  4. Step 4: Simplify right side
    560,970x = 1,457,991,045,729
  5. Step 5: Solve for x
    x = 1,457,991,045,729/560,970
  6. Step 6: Final answer
    x = 2,599,053.51

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.