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Finding the Third Proportional to 480,598 and 1,023,313

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Solution

The third proportional to 480,598 and 1,023,313 is: 2,178,888.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,598 : 1,023,313 = 1,023,313 : x
  2. Step 2: Convert to fraction form
    480,598/1,023,313 = 1,023,313/x
  3. Step 3: Cross multiply
    480,598x = 1,023,313 × 1,023,313
  4. Step 4: Simplify right side
    480,598x = 1,047,169,495,969
  5. Step 5: Solve for x
    x = 1,047,169,495,969/480,598
  6. Step 6: Final answer
    x = 2,178,888.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.