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Finding the Third Proportional to 423,424,584 and 911,726,280

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Solution

The third proportional to 423,424,584 and 911,726,280 is: 1,963,147,254.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,424,584 : 911,726,280 = 911,726,280 : x
  2. Step 2: Convert to fraction form
    423,424,584/911,726,280 = 911,726,280/x
  3. Step 3: Cross multiply
    423,424,584x = 911,726,280 × 911,726,280
  4. Step 4: Simplify right side
    423,424,584x = 831,244,809,642,638,336
  5. Step 5: Solve for x
    x = 831,244,809,642,638,336/423,424,584
  6. Step 6: Final answer
    x = 1,963,147,254.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.