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Finding the Third Proportional to 952,490 and 2,037,547

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Solution

The third proportional to 952,490 and 2,037,547 is: 4,358,678.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,490 : 2,037,547 = 2,037,547 : x
  2. Step 2: Convert to fraction form
    952,490/2,037,547 = 2,037,547/x
  3. Step 3: Cross multiply
    952,490x = 2,037,547 × 2,037,547
  4. Step 4: Simplify right side
    952,490x = 4,151,597,777,209
  5. Step 5: Solve for x
    x = 4,151,597,777,209/952,490
  6. Step 6: Final answer
    x = 4,358,678.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.