Finding the Third Proportional to 470,853 and 1,029,730
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Solution
The third proportional to 470,853 and 1,029,730 is: 2,251,963.72
Step by Step Solution
- Step 1: Write the proportion equation
470,853 : 1,029,730 = 1,029,730 : x - Step 2: Convert to fraction form
470,853/1,029,730 = 1,029,730/x - Step 3: Cross multiply
470,853x = 1,029,730 × 1,029,730 - Step 4: Simplify right side
470,853x = 1,060,343,872,900 - Step 5: Solve for x
x = 1,060,343,872,900/470,853 - Step 6: Final answer
x = 2,251,963.72
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.