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Finding the Third Proportional to 385,035,849 and 840,628,712

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Solution

The third proportional to 385,035,849 and 840,628,712 is: 1,835,300,877.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,035,849 : 840,628,712 = 840,628,712 : x
  2. Step 2: Convert to fraction form
    385,035,849/840,628,712 = 840,628,712/x
  3. Step 3: Cross multiply
    385,035,849x = 840,628,712 × 840,628,712
  4. Step 4: Simplify right side
    385,035,849x = 706,656,631,438,778,880
  5. Step 5: Solve for x
    x = 706,656,631,438,778,880/385,035,849
  6. Step 6: Final answer
    x = 1,835,300,877.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.