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Finding the Third Proportional to 459,400,842 and 706,131,427.50

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Solution

The third proportional to 459,400,842 and 706,131,427.50 is: 1,085,373,702.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,400,842 : 706,131,427.50 = 706,131,427.50 : x
  2. Step 2: Convert to fraction form
    459,400,842/706,131,427.50 = 706,131,427.50/x
  3. Step 3: Cross multiply
    459,400,842x = 706,131,427.50 × 706,131,427.50
  4. Step 4: Simplify right side
    459,400,842x = 498,621,592,903,187,776
  5. Step 5: Solve for x
    x = 498,621,592,903,187,776/459,400,842
  6. Step 6: Final answer
    x = 1,085,373,702.70

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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.