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Finding the Third Proportional to 698,863 and 1,528,580

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Solution

The third proportional to 698,863 and 1,528,580 is: 3,343,368.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,863 : 1,528,580 = 1,528,580 : x
  2. Step 2: Convert to fraction form
    698,863/1,528,580 = 1,528,580/x
  3. Step 3: Cross multiply
    698,863x = 1,528,580 × 1,528,580
  4. Step 4: Simplify right side
    698,863x = 2,336,556,816,400
  5. Step 5: Solve for x
    x = 2,336,556,816,400/698,863
  6. Step 6: Final answer
    x = 3,343,368.90

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Why These Related Problems?

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