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Finding the Third Proportional to 983,421 and 1,484,176.50

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Solution

The third proportional to 983,421 and 1,484,176.50 is: 2,239,915.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,421 : 1,484,176.50 = 1,484,176.50 : x
  2. Step 2: Convert to fraction form
    983,421/1,484,176.50 = 1,484,176.50/x
  3. Step 3: Cross multiply
    983,421x = 1,484,176.50 × 1,484,176.50
  4. Step 4: Simplify right side
    983,421x = 2,202,779,883,152.25
  5. Step 5: Solve for x
    x = 2,202,779,883,152.25/983,421
  6. Step 6: Final answer
    x = 2,239,915.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.