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Finding the Third Proportional to 1,017,684 and 1,574,347.50

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Solution

The third proportional to 1,017,684 and 1,574,347.50 is: 2,435,500.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017,684 : 1,574,347.50 = 1,574,347.50 : x
  2. Step 2: Convert to fraction form
    1,017,684/1,574,347.50 = 1,574,347.50/x
  3. Step 3: Cross multiply
    1,017,684x = 1,574,347.50 × 1,574,347.50
  4. Step 4: Simplify right side
    1,017,684x = 2,478,570,050,756.25
  5. Step 5: Solve for x
    x = 2,478,570,050,756.25/1,017,684
  6. Step 6: Final answer
    x = 2,435,500.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.