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Finding the Third Proportional to 507,681 and 1,114,994.25

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Solution

The third proportional to 507,681 and 1,114,994.25 is: 2,448,805.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,681 : 1,114,994.25 = 1,114,994.25 : x
  2. Step 2: Convert to fraction form
    507,681/1,114,994.25 = 1,114,994.25/x
  3. Step 3: Cross multiply
    507,681x = 1,114,994.25 × 1,114,994.25
  4. Step 4: Simplify right side
    507,681x = 1,243,212,177,533.06
  5. Step 5: Solve for x
    x = 1,243,212,177,533.06/507,681
  6. Step 6: Final answer
    x = 2,448,805.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.