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Finding the Third Proportional to 830,443,250 and 1,167,962,871

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Solution

The third proportional to 830,443,250 and 1,167,962,871 is: 1,642,661,636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,443,250 : 1,167,962,871 = 1,167,962,871 : x
  2. Step 2: Convert to fraction form
    830,443,250/1,167,962,871 = 1,167,962,871/x
  3. Step 3: Cross multiply
    830,443,250x = 1,167,962,871 × 1,167,962,871
  4. Step 4: Simplify right side
    830,443,250x = 1,364,137,268,034,562,560
  5. Step 5: Solve for x
    x = 1,364,137,268,034,562,560/830,443,250
  6. Step 6: Final answer
    x = 1,642,661,636.46

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.