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Finding the Third Proportional to 919,804,972 and 1,379,369,634

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Solution

The third proportional to 919,804,972 and 1,379,369,634 is: 2,068,547,839.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,804,972 : 1,379,369,634 = 1,379,369,634 : x
  2. Step 2: Convert to fraction form
    919,804,972/1,379,369,634 = 1,379,369,634/x
  3. Step 3: Cross multiply
    919,804,972x = 1,379,369,634 × 1,379,369,634
  4. Step 4: Simplify right side
    919,804,972x = 1,902,660,587,201,294,080
  5. Step 5: Solve for x
    x = 1,902,660,587,201,294,080/919,804,972
  6. Step 6: Final answer
    x = 2,068,547,839.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.