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Finding the Third Proportional to 686,416 and 1,050,054

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Solution

The third proportional to 686,416 and 1,050,054 is: 1,606,334.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,416 : 1,050,054 = 1,050,054 : x
  2. Step 2: Convert to fraction form
    686,416/1,050,054 = 1,050,054/x
  3. Step 3: Cross multiply
    686,416x = 1,050,054 × 1,050,054
  4. Step 4: Simplify right side
    686,416x = 1,102,613,402,916
  5. Step 5: Solve for x
    x = 1,102,613,402,916/686,416
  6. Step 6: Final answer
    x = 1,606,334.06

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.