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Finding the Third Proportional to 698,120 and 1,506,064

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Solution

The third proportional to 698,120 and 1,506,064 is: 3,249,052.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,120 : 1,506,064 = 1,506,064 : x
  2. Step 2: Convert to fraction form
    698,120/1,506,064 = 1,506,064/x
  3. Step 3: Cross multiply
    698,120x = 1,506,064 × 1,506,064
  4. Step 4: Simplify right side
    698,120x = 2,268,228,772,096
  5. Step 5: Solve for x
    x = 2,268,228,772,096/698,120
  6. Step 6: Final answer
    x = 3,249,052.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.