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Finding the Third Proportional to 620,925 and 910,944

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Solution

The third proportional to 620,925 and 910,944 is: 1,336,423.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,925 : 910,944 = 910,944 : x
  2. Step 2: Convert to fraction form
    620,925/910,944 = 910,944/x
  3. Step 3: Cross multiply
    620,925x = 910,944 × 910,944
  4. Step 4: Simplify right side
    620,925x = 829,818,971,136
  5. Step 5: Solve for x
    x = 829,818,971,136/620,925
  6. Step 6: Final answer
    x = 1,336,423.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.