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Finding the Third Proportional to 459,395,586 and 706,124,010

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Solution

The third proportional to 459,395,586 and 706,124,010 is: 1,085,363,318.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,395,586 : 706,124,010 = 706,124,010 : x
  2. Step 2: Convert to fraction form
    459,395,586/706,124,010 = 706,124,010/x
  3. Step 3: Cross multiply
    459,395,586x = 706,124,010 × 706,124,010
  4. Step 4: Simplify right side
    459,395,586x = 498,611,117,498,480,128
  5. Step 5: Solve for x
    x = 498,611,117,498,480,128/459,395,586
  6. Step 6: Final answer
    x = 1,085,363,318.01

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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.