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Finding the Third Proportional to 910,645 and 1,407,034

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Solution

The third proportional to 910,645 and 1,407,034 is: 2,174,002.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,645 : 1,407,034 = 1,407,034 : x
  2. Step 2: Convert to fraction form
    910,645/1,407,034 = 1,407,034/x
  3. Step 3: Cross multiply
    910,645x = 1,407,034 × 1,407,034
  4. Step 4: Simplify right side
    910,645x = 1,979,744,677,156
  5. Step 5: Solve for x
    x = 1,979,744,677,156/910,645
  6. Step 6: Final answer
    x = 2,174,002.69

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.