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Finding the Third Proportional to 1,085,672 and 1,596,072

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Solution

The third proportional to 1,085,672 and 1,596,072 is: 2,346,423.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085,672 : 1,596,072 = 1,596,072 : x
  2. Step 2: Convert to fraction form
    1,085,672/1,596,072 = 1,596,072/x
  3. Step 3: Cross multiply
    1,085,672x = 1,596,072 × 1,596,072
  4. Step 4: Simplify right side
    1,085,672x = 2,547,445,829,184
  5. Step 5: Solve for x
    x = 2,547,445,829,184/1,085,672
  6. Step 6: Final answer
    x = 2,346,423.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.