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Finding the Third Proportional to 623,734 and 1,352,362

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Solution

The third proportional to 623,734 and 1,352,362 is: 2,932,152.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,734 : 1,352,362 = 1,352,362 : x
  2. Step 2: Convert to fraction form
    623,734/1,352,362 = 1,352,362/x
  3. Step 3: Cross multiply
    623,734x = 1,352,362 × 1,352,362
  4. Step 4: Simplify right side
    623,734x = 1,828,882,979,044
  5. Step 5: Solve for x
    x = 1,828,882,979,044/623,734
  6. Step 6: Final answer
    x = 2,932,152.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.