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Finding the Third Proportional to 560,034 and 1,228,931

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Solution

The third proportional to 560,034 and 1,228,931 is: 2,696,749.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,034 : 1,228,931 = 1,228,931 : x
  2. Step 2: Convert to fraction form
    560,034/1,228,931 = 1,228,931/x
  3. Step 3: Cross multiply
    560,034x = 1,228,931 × 1,228,931
  4. Step 4: Simplify right side
    560,034x = 1,510,271,402,761
  5. Step 5: Solve for x
    x = 1,510,271,402,761/560,034
  6. Step 6: Final answer
    x = 2,696,749.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.