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Finding the Third Proportional to 926,964 and 1,432,444.50

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Solution

The third proportional to 926,964 and 1,432,444.50 is: 2,213,567.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    926,964 : 1,432,444.50 = 1,432,444.50 : x
  2. Step 2: Convert to fraction form
    926,964/1,432,444.50 = 1,432,444.50/x
  3. Step 3: Cross multiply
    926,964x = 1,432,444.50 × 1,432,444.50
  4. Step 4: Simplify right side
    926,964x = 2,051,897,245,580.25
  5. Step 5: Solve for x
    x = 2,051,897,245,580.25/926,964
  6. Step 6: Final answer
    x = 2,213,567.35

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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.