Finding the Third Proportional to 946,648 and 1,429,828
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Solution
The third proportional to 946,648 and 1,429,828 is: 2,159,628.62
Step by Step Solution
- Step 1: Write the proportion equation
946,648 : 1,429,828 = 1,429,828 : x - Step 2: Convert to fraction form
946,648/1,429,828 = 1,429,828/x - Step 3: Cross multiply
946,648x = 1,429,828 × 1,429,828 - Step 4: Simplify right side
946,648x = 2,044,408,109,584 - Step 5: Solve for x
x = 2,044,408,109,584/946,648 - Step 6: Final answer
x = 2,159,628.62
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.