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Finding the Third Proportional to 1,005,778,748 and 1,502,474,250

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Solution

The third proportional to 1,005,778,748 and 1,502,474,250 is: 2,244,458,710.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,778,748 : 1,502,474,250 = 1,502,474,250 : x
  2. Step 2: Convert to fraction form
    1,005,778,748/1,502,474,250 = 1,502,474,250/x
  3. Step 3: Cross multiply
    1,005,778,748x = 1,502,474,250 × 1,502,474,250
  4. Step 4: Simplify right side
    1,005,778,748x = 2,257,428,871,913,062,400
  5. Step 5: Solve for x
    x = 2,257,428,871,913,062,400/1,005,778,748
  6. Step 6: Final answer
    x = 2,244,458,710.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.