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Finding the Third Proportional to 705,994,776 and 1,088,766,462

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Solution

The third proportional to 705,994,776 and 1,088,766,462 is: 1,679,066,827.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,994,776 : 1,088,766,462 = 1,088,766,462 : x
  2. Step 2: Convert to fraction form
    705,994,776/1,088,766,462 = 1,088,766,462/x
  3. Step 3: Cross multiply
    705,994,776x = 1,088,766,462 × 1,088,766,462
  4. Step 4: Simplify right side
    705,994,776x = 1,185,412,408,775,997,440
  5. Step 5: Solve for x
    x = 1,185,412,408,775,997,440/705,994,776
  6. Step 6: Final answer
    x = 1,679,066,827.51

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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.