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Finding the Third Proportional to 452,306 and 973,300

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Solution

The third proportional to 452,306 and 973,300 is: 2,094,407.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,306 : 973,300 = 973,300 : x
  2. Step 2: Convert to fraction form
    452,306/973,300 = 973,300/x
  3. Step 3: Cross multiply
    452,306x = 973,300 × 973,300
  4. Step 4: Simplify right side
    452,306x = 947,312,890,000
  5. Step 5: Solve for x
    x = 947,312,890,000/452,306
  6. Step 6: Final answer
    x = 2,094,407.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.