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Finding the Third Proportional to 867,386,817 and 1,321,407,842

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Solution

The third proportional to 867,386,817 and 1,321,407,842 is: 2,013,079,574.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,386,817 : 1,321,407,842 = 1,321,407,842 : x
  2. Step 2: Convert to fraction form
    867,386,817/1,321,407,842 = 1,321,407,842/x
  3. Step 3: Cross multiply
    867,386,817x = 1,321,407,842 × 1,321,407,842
  4. Step 4: Simplify right side
    867,386,817x = 1,746,118,684,899,097,088
  5. Step 5: Solve for x
    x = 1,746,118,684,899,097,088/867,386,817
  6. Step 6: Final answer
    x = 2,013,079,574.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.