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Finding the Third Proportional to 623,714 and 1,312,630

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Solution

The third proportional to 623,714 and 1,312,630 is: 2,762,480.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,714 : 1,312,630 = 1,312,630 : x
  2. Step 2: Convert to fraction form
    623,714/1,312,630 = 1,312,630/x
  3. Step 3: Cross multiply
    623,714x = 1,312,630 × 1,312,630
  4. Step 4: Simplify right side
    623,714x = 1,722,997,516,900
  5. Step 5: Solve for x
    x = 1,722,997,516,900/623,714
  6. Step 6: Final answer
    x = 2,762,480.11

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.