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Finding the Third Proportional to 909,693,693 and 1,397,400,894

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Solution

The third proportional to 909,693,693 and 1,397,400,894 is: 2,146,578,868.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,693,693 : 1,397,400,894 = 1,397,400,894 : x
  2. Step 2: Convert to fraction form
    909,693,693/1,397,400,894 = 1,397,400,894/x
  3. Step 3: Cross multiply
    909,693,693x = 1,397,400,894 × 1,397,400,894
  4. Step 4: Simplify right side
    909,693,693x = 1,952,729,258,551,999,232
  5. Step 5: Solve for x
    x = 1,952,729,258,551,999,232/909,693,693
  6. Step 6: Final answer
    x = 2,146,578,868.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.