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Finding the Third Proportional to 623,637 and 1,347,066

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Solution

The third proportional to 623,637 and 1,347,066 is: 2,909,684.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,637 : 1,347,066 = 1,347,066 : x
  2. Step 2: Convert to fraction form
    623,637/1,347,066 = 1,347,066/x
  3. Step 3: Cross multiply
    623,637x = 1,347,066 × 1,347,066
  4. Step 4: Simplify right side
    623,637x = 1,814,586,808,356
  5. Step 5: Solve for x
    x = 1,814,586,808,356/623,637
  6. Step 6: Final answer
    x = 2,909,684.33

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