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Finding the Third Proportional to 459,476 and 973,504

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Solution

The third proportional to 459,476 and 973,504 is: 2,062,588.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,476 : 973,504 = 973,504 : x
  2. Step 2: Convert to fraction form
    459,476/973,504 = 973,504/x
  3. Step 3: Cross multiply
    459,476x = 973,504 × 973,504
  4. Step 4: Simplify right side
    459,476x = 947,710,038,016
  5. Step 5: Solve for x
    x = 947,710,038,016/459,476
  6. Step 6: Final answer
    x = 2,062,588.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.