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Finding the Third Proportional to 950,528,840 and 1,512,478,284

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Solution

The third proportional to 950,528,840 and 1,512,478,284 is: 2,406,650,343.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,528,840 : 1,512,478,284 = 1,512,478,284 : x
  2. Step 2: Convert to fraction form
    950,528,840/1,512,478,284 = 1,512,478,284/x
  3. Step 3: Cross multiply
    950,528,840x = 1,512,478,284 × 1,512,478,284
  4. Step 4: Simplify right side
    950,528,840x = 2,287,590,559,571,584,768
  5. Step 5: Solve for x
    x = 2,287,590,559,571,584,768/950,528,840
  6. Step 6: Final answer
    x = 2,406,650,343.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.