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Finding the Third Proportional to 971,346 and 1,457,020.50

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Solution

The third proportional to 971,346 and 1,457,020.50 is: 2,185,533.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,346 : 1,457,020.50 = 1,457,020.50 : x
  2. Step 2: Convert to fraction form
    971,346/1,457,020.50 = 1,457,020.50/x
  3. Step 3: Cross multiply
    971,346x = 1,457,020.50 × 1,457,020.50
  4. Step 4: Simplify right side
    971,346x = 2,122,908,737,420.25
  5. Step 5: Solve for x
    x = 2,122,908,737,420.25/971,346
  6. Step 6: Final answer
    x = 2,185,533.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.