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Finding the Third Proportional to 617,300 and 1,349,944

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Solution

The third proportional to 617,300 and 1,349,944 is: 2,952,128.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,300 : 1,349,944 = 1,349,944 : x
  2. Step 2: Convert to fraction form
    617,300/1,349,944 = 1,349,944/x
  3. Step 3: Cross multiply
    617,300x = 1,349,944 × 1,349,944
  4. Step 4: Simplify right side
    617,300x = 1,822,348,803,136
  5. Step 5: Solve for x
    x = 1,822,348,803,136/617,300
  6. Step 6: Final answer
    x = 2,952,128.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.