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Finding the Third Proportional to 558,564 and 1,205,688

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Solution

The third proportional to 558,564 and 1,205,688 is: 2,602,537.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,564 : 1,205,688 = 1,205,688 : x
  2. Step 2: Convert to fraction form
    558,564/1,205,688 = 1,205,688/x
  3. Step 3: Cross multiply
    558,564x = 1,205,688 × 1,205,688
  4. Step 4: Simplify right side
    558,564x = 1,453,683,553,344
  5. Step 5: Solve for x
    x = 1,453,683,553,344/558,564
  6. Step 6: Final answer
    x = 2,602,537.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.