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Finding the Third Proportional to 623,358 and 1,345,128

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Solution

The third proportional to 623,358 and 1,345,128 is: 2,902,616.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,358 : 1,345,128 = 1,345,128 : x
  2. Step 2: Convert to fraction form
    623,358/1,345,128 = 1,345,128/x
  3. Step 3: Cross multiply
    623,358x = 1,345,128 × 1,345,128
  4. Step 4: Simplify right side
    623,358x = 1,809,369,336,384
  5. Step 5: Solve for x
    x = 1,809,369,336,384/623,358
  6. Step 6: Final answer
    x = 2,902,616.69

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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.