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Finding the Third Proportional to 698,913 and 1,528,681

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Solution

The third proportional to 698,913 and 1,528,681 is: 3,343,571.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,913 : 1,528,681 = 1,528,681 : x
  2. Step 2: Convert to fraction form
    698,913/1,528,681 = 1,528,681/x
  3. Step 3: Cross multiply
    698,913x = 1,528,681 × 1,528,681
  4. Step 4: Simplify right side
    698,913x = 2,336,865,599,761
  5. Step 5: Solve for x
    x = 2,336,865,599,761/698,913
  6. Step 6: Final answer
    x = 3,343,571.52

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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.