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Finding the Third Proportional to 563,160 and 1,225,464

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Solution

The third proportional to 563,160 and 1,225,464 is: 2,666,670.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,160 : 1,225,464 = 1,225,464 : x
  2. Step 2: Convert to fraction form
    563,160/1,225,464 = 1,225,464/x
  3. Step 3: Cross multiply
    563,160x = 1,225,464 × 1,225,464
  4. Step 4: Simplify right side
    563,160x = 1,501,762,015,296
  5. Step 5: Solve for x
    x = 1,501,762,015,296/563,160
  6. Step 6: Final answer
    x = 2,666,670.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.