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Finding the Third Proportional to 1,069,907,984 and 1,478,369,784

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Solution

The third proportional to 1,069,907,984 and 1,478,369,784 is: 2,042,771,201.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,907,984 : 1,478,369,784 = 1,478,369,784 : x
  2. Step 2: Convert to fraction form
    1,069,907,984/1,478,369,784 = 1,478,369,784/x
  3. Step 3: Cross multiply
    1,069,907,984x = 1,478,369,784 × 1,478,369,784
  4. Step 4: Simplify right side
    1,069,907,984x = 2,185,577,218,244,206,592
  5. Step 5: Solve for x
    x = 2,185,577,218,244,206,592/1,069,907,984
  6. Step 6: Final answer
    x = 2,042,771,201.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.