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Finding the Third Proportional to 586,178 and 1,255,300

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Solution

The third proportional to 586,178 and 1,255,300 is: 2,688,224.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,178 : 1,255,300 = 1,255,300 : x
  2. Step 2: Convert to fraction form
    586,178/1,255,300 = 1,255,300/x
  3. Step 3: Cross multiply
    586,178x = 1,255,300 × 1,255,300
  4. Step 4: Simplify right side
    586,178x = 1,575,778,090,000
  5. Step 5: Solve for x
    x = 1,575,778,090,000/586,178
  6. Step 6: Final answer
    x = 2,688,224.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.