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Finding the Third Proportional to 648,476 and 1,035,953

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Solution

The third proportional to 648,476 and 1,035,953 is: 1,654,955.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,476 : 1,035,953 = 1,035,953 : x
  2. Step 2: Convert to fraction form
    648,476/1,035,953 = 1,035,953/x
  3. Step 3: Cross multiply
    648,476x = 1,035,953 × 1,035,953
  4. Step 4: Simplify right side
    648,476x = 1,073,198,618,209
  5. Step 5: Solve for x
    x = 1,073,198,618,209/648,476
  6. Step 6: Final answer
    x = 1,654,955.03

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.