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Finding the Third Proportional to 1,284,905,370 and 1,733,639,017

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Solution

The third proportional to 1,284,905,370 and 1,733,639,017 is: 2,339,086,061.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284,905,370 : 1,733,639,017 = 1,733,639,017 : x
  2. Step 2: Convert to fraction form
    1,284,905,370/1,733,639,017 = 1,733,639,017/x
  3. Step 3: Cross multiply
    1,284,905,370x = 1,733,639,017 × 1,733,639,017
  4. Step 4: Simplify right side
    1,284,905,370x = 3,005,504,241,264,726,528
  5. Step 5: Solve for x
    x = 3,005,504,241,264,726,528/1,284,905,370
  6. Step 6: Final answer
    x = 2,339,086,061.46

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.