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Finding the Third Proportional to 630,038 and 1,382,547

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Solution

The third proportional to 630,038 and 1,382,547 is: 3,033,842.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,038 : 1,382,547 = 1,382,547 : x
  2. Step 2: Convert to fraction form
    630,038/1,382,547 = 1,382,547/x
  3. Step 3: Cross multiply
    630,038x = 1,382,547 × 1,382,547
  4. Step 4: Simplify right side
    630,038x = 1,911,436,207,209
  5. Step 5: Solve for x
    x = 1,911,436,207,209/630,038
  6. Step 6: Final answer
    x = 3,033,842.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.