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Finding the Third Proportional to 623,178 and 1,355,688

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Solution

The third proportional to 623,178 and 1,355,688 is: 2,949,221.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,178 : 1,355,688 = 1,355,688 : x
  2. Step 2: Convert to fraction form
    623,178/1,355,688 = 1,355,688/x
  3. Step 3: Cross multiply
    623,178x = 1,355,688 × 1,355,688
  4. Step 4: Simplify right side
    623,178x = 1,837,889,953,344
  5. Step 5: Solve for x
    x = 1,837,889,953,344/623,178
  6. Step 6: Final answer
    x = 2,949,221.50

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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.