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Finding the Third Proportional to 710,010 and 1,542,492

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Solution

The third proportional to 710,010 and 1,542,492 is: 3,351,053.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,010 : 1,542,492 = 1,542,492 : x
  2. Step 2: Convert to fraction form
    710,010/1,542,492 = 1,542,492/x
  3. Step 3: Cross multiply
    710,010x = 1,542,492 × 1,542,492
  4. Step 4: Simplify right side
    710,010x = 2,379,281,570,064
  5. Step 5: Solve for x
    x = 2,379,281,570,064/710,010
  6. Step 6: Final answer
    x = 3,351,053.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.