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Finding the Third Proportional to 565,547 and 1,333,912

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Solution

The third proportional to 565,547 and 1,333,912 is: 3,146,195.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,547 : 1,333,912 = 1,333,912 : x
  2. Step 2: Convert to fraction form
    565,547/1,333,912 = 1,333,912/x
  3. Step 3: Cross multiply
    565,547x = 1,333,912 × 1,333,912
  4. Step 4: Simplify right side
    565,547x = 1,779,321,223,744
  5. Step 5: Solve for x
    x = 1,779,321,223,744/565,547
  6. Step 6: Final answer
    x = 3,146,195.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.