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Finding the Third Proportional to 1,005,778,248 and 1,502,473,272

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Solution

The third proportional to 1,005,778,248 and 1,502,473,272 is: 2,244,456,904.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,778,248 : 1,502,473,272 = 1,502,473,272 : x
  2. Step 2: Convert to fraction form
    1,005,778,248/1,502,473,272 = 1,502,473,272/x
  3. Step 3: Cross multiply
    1,005,778,248x = 1,502,473,272 × 1,502,473,272
  4. Step 4: Simplify right side
    1,005,778,248x = 2,257,425,933,074,385,920
  5. Step 5: Solve for x
    x = 2,257,425,933,074,385,920/1,005,778,248
  6. Step 6: Final answer
    x = 2,244,456,904.46

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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.