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Finding the Third Proportional to 623,432 and 1,346,340

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Solution

The third proportional to 623,432 and 1,346,340 is: 2,907,504.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,432 : 1,346,340 = 1,346,340 : x
  2. Step 2: Convert to fraction form
    623,432/1,346,340 = 1,346,340/x
  3. Step 3: Cross multiply
    623,432x = 1,346,340 × 1,346,340
  4. Step 4: Simplify right side
    623,432x = 1,812,631,395,600
  5. Step 5: Solve for x
    x = 1,812,631,395,600/623,432
  6. Step 6: Final answer
    x = 2,907,504.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.