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Finding the Third Proportional to 963,312 and 1,431,024

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Solution

The third proportional to 963,312 and 1,431,024 is: 2,125,821.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,312 : 1,431,024 = 1,431,024 : x
  2. Step 2: Convert to fraction form
    963,312/1,431,024 = 1,431,024/x
  3. Step 3: Cross multiply
    963,312x = 1,431,024 × 1,431,024
  4. Step 4: Simplify right side
    963,312x = 2,047,829,688,576
  5. Step 5: Solve for x
    x = 2,047,829,688,576/963,312
  6. Step 6: Final answer
    x = 2,125,821.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.